Atkin-Lehner |
2- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
92414bd |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
8087040 |
Modular degree for the optimal curve |
Δ |
-5.7527211309748E+20 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -4 -1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5388482,-4951276604] |
[a1,a2,a3,a4,a6] |
Generators |
[5212:326870:1] |
Generators of the group modulo torsion |
j |
-147073621479228951697/4889732280745984 |
j-invariant |
L |
2.9761482606922 |
L(r)(E,1)/r! |
Ω |
0.04944863307204 |
Real period |
R |
0.16718517789311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202k1 |
Quadratic twists by: -7 |