Atkin-Lehner |
2+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450bc |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2270376284120000 = -1 · 26 · 54 · 77 · 413 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39225,3751525] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:935:1] [426:7823:1] |
Generators of the group modulo torsion |
j |
-90774028825/30876608 |
j-invariant |
L |
6.5468283375534 |
L(r)(E,1)/r! |
Ω |
0.43510657575172 |
Real period |
R |
0.20897907874636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450br2 14350i2 |
Quadratic twists by: 5 -7 |