Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450z |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-3376526300000000 = -1 · 28 · 58 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -2 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36367,3874541] |
[a1,a2,a3,a4,a6] |
Generators |
[21306:572251:27] |
Generators of the group modulo torsion |
j |
-115745625/73472 |
j-invariant |
L |
9.2538912999152 |
L(r)(E,1)/r! |
Ω |
0.41251921145331 |
Real period |
R |
5.6081577797429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450bo1 14350h1 |
Quadratic twists by: 5 -7 |