Atkin-Lehner |
2- 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52808h |
Isogeny class |
Conductor |
52808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60288 |
Modular degree for the optimal curve |
Δ |
105616 = 24 · 7 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 0 3 7- -3 5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45211,3700107] |
[a1,a2,a3,a4,a6] |
Generators |
[15345:3:125] |
Generators of the group modulo torsion |
j |
638757582766371072/6601 |
j-invariant |
L |
7.5793343583221 |
L(r)(E,1)/r! |
Ω |
1.6780672931239 |
Real period |
R |
2.258352328687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105616c1 |
Quadratic twists by: -4 |