Atkin-Lehner |
2- 3+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94962bf |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
61134192697536 = 26 · 33 · 78 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 2 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52529,-4640497] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:112:1] |
Generators of the group modulo torsion |
j |
2780592251857/10604736 |
j-invariant |
L |
12.171295656097 |
L(r)(E,1)/r! |
Ω |
0.31542735115321 |
Real period |
R |
1.0718523448524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94962bz1 |
Quadratic twists by: -7 |