Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712c |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-110675002992246784 = -1 · 214 · 72 · 1310 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ -2 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114244,-5940688] |
[a1,a2,a3,a4,a6] |
Generators |
[12920:330052:125] |
Generators of the group modulo torsion |
j |
73008/49 |
j-invariant |
L |
6.4224439400418 |
L(r)(E,1)/r! |
Ω |
0.18954288315861 |
Real period |
R |
8.4709642387942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712cl1 4732c1 75712bb1 |
Quadratic twists by: -4 8 13 |