Atkin-Lehner |
2- 3- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390bu |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
8375722736400 = 24 · 312 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140477,-20229771] |
[a1,a2,a3,a4,a6] |
Generators |
[17949:353092:27] |
Generators of the group modulo torsion |
j |
420541594787336329/11489331600 |
j-invariant |
L |
11.370058613259 |
L(r)(E,1)/r! |
Ω |
0.2466034806754 |
Real period |
R |
5.7633303682287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130e1 |
Quadratic twists by: -3 |