Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hm |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-37131979500000000 = -1 · 28 · 39 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56133,-10609137] |
[a1,a2,a3,a4,a6] |
Generators |
[1323:-47250:1] |
Generators of the group modulo torsion |
j |
-4890195460096/9282994875 |
j-invariant |
L |
9.3887834089664 |
L(r)(E,1)/r! |
Ω |
0.14600332215507 |
Real period |
R |
0.29770959511542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100c1 18480ce1 |
Quadratic twists by: -4 5 |