Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60760i |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
27869184 |
Modular degree for the optimal curve |
Δ |
-5.1829154067587E+27 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-403313185,4659965564323] |
[a1,a2,a3,a4,a6] |
j |
-240892216689399984415744/172086148693581998435 |
j-invariant |
L |
2.5375162612395 |
L(r)(E,1)/r! |
Ω |
0.039648691564967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121520m1 8680a1 |
Quadratic twists by: -4 -7 |