Atkin-Lehner |
2+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640f |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-10068954539714560 = -1 · 211 · 5 · 710 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 5 -7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31213,4336206] |
[a1,a2,a3,a4,a6] |
Generators |
[3485620:80258821:8000] |
Generators of the group modulo torsion |
j |
5813262/17405 |
j-invariant |
L |
5.9169925915587 |
L(r)(E,1)/r! |
Ω |
0.28703104974586 |
Real period |
R |
10.307234273424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115640a1 |
Quadratic twists by: -7 |