Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
93492t |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
77009157156245328 = 24 · 38 · 712 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120540,-9011639] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:2619:1] |
Generators of the group modulo torsion |
j |
141150208000/56118573 |
j-invariant |
L |
6.9001218768073 |
L(r)(E,1)/r! |
Ω |
0.26515133008319 |
Real period |
R |
4.3372224870745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31164k1 13356c1 |
Quadratic twists by: -3 -7 |