Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450b |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3.1040300759453E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8499075,-9544172875] |
[a1,a2,a3,a4,a6] |
Generators |
[20416840413819082687208469865329915414854642508096430248660508454055350318701855376456618082289208773733:922210379154699188927561595646856563553436572042775251282241884974310949233857199539936586321357649275084:4571616821523322508974476260580920369211166277970099793362472012455785838322201003956313162997767033] |
Generators of the group modulo torsion |
j |
-1206019732225/551368 |
j-invariant |
L |
7.1490163951149 |
L(r)(E,1)/r! |
Ω |
0.04420941084571 |
Real period |
R |
161.70802230468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450cf2 100450s2 |
Quadratic twists by: 5 -7 |