Atkin-Lehner |
2- 3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576bu |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
313611927552 = 214 · 36 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8464,295700] |
[a1,a2,a3,a4,a6] |
Generators |
[68:198:1] [-97:462:1] |
Generators of the group modulo torsion |
j |
16373519373457/76565412 |
j-invariant |
L |
12.149713849105 |
L(r)(E,1)/r! |
Ω |
0.97223673327399 |
Real period |
R |
1.0413885005499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322i1 |
Quadratic twists by: -4 |