Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024q |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
1878597168192 = 26 · 314 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -6 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1338501,-596041036] |
[a1,a2,a3,a4,a6] |
Generators |
[12176:1337258:1] |
Generators of the group modulo torsion |
j |
5684238735112925632/40264857 |
j-invariant |
L |
2.2425140900077 |
L(r)(E,1)/r! |
Ω |
0.14036049135527 |
Real period |
R |
7.9884092436999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024bl1 31008m1 |
Quadratic twists by: -4 -3 |