Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736dh |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-56755569592512 = -1 · 26 · 39 · 7 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -1 -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33750,-2413854] |
[a1,a2,a3,a4,a6] |
Generators |
[33458693783:2554264312307:5735339] |
Generators of the group modulo torsion |
j |
-3375000000000/45054401 |
j-invariant |
L |
6.7097409724676 |
L(r)(E,1)/r! |
Ω |
0.17597710213975 |
Real period |
R |
19.064244412717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736da1 46368bf1 92736dm1 |
Quadratic twists by: -4 8 -3 |