Atkin-Lehner |
2+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048k |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2872320 |
Modular degree for the optimal curve |
Δ |
2972959119839632 = 24 · 77 · 11 · 295 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- 11- -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4347100,3487121329] |
[a1,a2,a3,a4,a6] |
Generators |
[1836:41209:1] [-56220:1600829:27] |
Generators of the group modulo torsion |
j |
4826301862836722944/1579358473 |
j-invariant |
L |
10.589614055377 |
L(r)(E,1)/r! |
Ω |
0.36343681907348 |
Real period |
R |
0.72843569400654 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999945269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864i1 |
Quadratic twists by: -7 |