Atkin-Lehner |
2+ 3- 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
92430d |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
471654730809999360 = 220 · 38 · 5 · 133 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-261225,39423181] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:8540:1] [137:2420:1] |
Generators of the group modulo torsion |
j |
2704215716590899601/646988656803840 |
j-invariant |
L |
7.8682553551889 |
L(r)(E,1)/r! |
Ω |
0.27779731054508 |
Real period |
R |
14.161863806648 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30810y1 |
Quadratic twists by: -3 |