Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bo |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8478720 |
Modular degree for the optimal curve |
Δ |
-9.0303018572103E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40473723,175287857578] |
[a1,a2,a3,a4,a6] |
Generators |
[-1126396439:32755433472:148877] |
Generators of the group modulo torsion |
j |
-2455589123241289310521/3024229820792832000 |
j-invariant |
L |
5.7447633665259 |
L(r)(E,1)/r! |
Ω |
0.066112784559261 |
Real period |
R |
10.861672603848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6030w1 16080x1 |
Quadratic twists by: -4 -3 |