Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400b |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
243562842250000 = 24 · 56 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 5 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20008,-795887] |
[a1,a2,a3,a4,a6] |
Generators |
[-918:377:8] |
Generators of the group modulo torsion |
j |
614656/169 |
j-invariant |
L |
8.2578500965158 |
L(r)(E,1)/r! |
Ω |
0.40972331408345 |
Real period |
R |
5.0386747120431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5096g1 127400k1 |
Quadratic twists by: 5 -7 |