Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430eg |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
2031741895680 = 210 · 37 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9743,366167] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-458:1] |
Generators of the group modulo torsion |
j |
409014195967/8125440 |
j-invariant |
L |
9.4635296869296 |
L(r)(E,1)/r! |
Ω |
0.82786900936025 |
Real period |
R |
0.57155960445998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810bn1 101430ff1 |
Quadratic twists by: -3 -7 |