Atkin-Lehner |
5- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525z |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
5080320 |
Modular degree for the optimal curve |
Δ |
8.3103509420437E+22 |
Discriminant |
Eigenvalues |
1 -1 5- 7- 3 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44140575,-112039938500] |
[a1,a2,a3,a4,a6] |
j |
24348804993879284215705/212744984116319053 |
j-invariant |
L |
2.4613212079873 |
L(r)(E,1)/r! |
Ω |
0.058602885798372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56525b1 |
Quadratic twists by: 5 |