Atkin-Lehner |
2+ 3- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582l |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17252352 |
Modular degree for the optimal curve |
Δ |
-1.0809560309321E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12943962,-157168244300] |
[a1,a2,a3,a4,a6] |
Generators |
[978152212116:226719310561022:18191447] |
Generators of the group modulo torsion |
j |
329001480923494031890847/14827929093718149037824 |
j-invariant |
L |
3.9365443815788 |
L(r)(E,1)/r! |
Ω |
0.034529670812261 |
Real period |
R |
19.000781505169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194u1 |
Quadratic twists by: -3 |