Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ht |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
-3072891064320000 = -1 · 215 · 311 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-822808,287011988] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:-23760:1] [-602:23760:1] |
Generators of the group modulo torsion |
j |
-24064663400038825/1200348072 |
j-invariant |
L |
12.971044969729 |
L(r)(E,1)/r! |
Ω |
0.42418617459186 |
Real period |
R |
0.11582825900656 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550r1 92400ee1 |
Quadratic twists by: -4 5 |