Atkin-Lehner |
2- 3- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
123114t |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
7050240 |
Modular degree for the optimal curve |
Δ |
1.2039601348051E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 1 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1256578,-123593692] |
[a1,a2,a3,a4,a6] |
Generators |
[-928:16070:1] |
Generators of the group modulo torsion |
j |
9090725854002625/4987909655712 |
j-invariant |
L |
8.9303946368672 |
L(r)(E,1)/r! |
Ω |
0.15241396775916 |
Real period |
R |
0.17233240987212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242i1 |
Quadratic twists by: 17 |