Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930bf |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-264753920000000 = -1 · 214 · 57 · 17 · 233 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -3 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83915,9354105] |
[a1,a2,a3,a4,a6] |
Generators |
[243:-1962:1] [-125:4294:1] |
Generators of the group modulo torsion |
j |
-5371051594773383/21760000000 |
j-invariant |
L |
13.381810184451 |
L(r)(E,1)/r! |
Ω |
0.55431601909484 |
Real period |
R |
0.1231689855677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89930bb1 |
Quadratic twists by: -23 |