Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bc |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-302737460480000 = -1 · 211 · 54 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 5 13+ -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30367,2209741] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-629:1] |
Generators of the group modulo torsion |
j |
-1026590625/100352 |
j-invariant |
L |
2.7992501587834 |
L(r)(E,1)/r! |
Ω |
0.53244631726512 |
Real period |
R |
1.314334453948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59150bo1 350f1 |
Quadratic twists by: 5 13 |