Atkin-Lehner |
2- 5- 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
91450t |
Isogeny class |
Conductor |
91450 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
738720 |
Modular degree for the optimal curve |
Δ |
-11611955200000000 = -1 · 219 · 58 · 312 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -3 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2513,-5184983] |
[a1,a2,a3,a4,a6] |
Generators |
[178:35:1] [202:1499:1] |
Generators of the group modulo torsion |
j |
-4493160625/29726605312 |
j-invariant |
L |
10.06821450762 |
L(r)(E,1)/r! |
Ω |
0.18301870223862 |
Real period |
R |
0.48256090793651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91450c1 |
Quadratic twists by: 5 |