Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302z |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-41887125730944 = -1 · 27 · 37 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 5 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25128,1570752] |
[a1,a2,a3,a4,a6] |
Generators |
[87:150:1] |
Generators of the group modulo torsion |
j |
-498677257/11904 |
j-invariant |
L |
7.6517206280341 |
L(r)(E,1)/r! |
Ω |
0.64244722624239 |
Real period |
R |
2.977567775347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31434x1 558g1 |
Quadratic twists by: -3 13 |