Atkin-Lehner |
3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351m |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-6.4741499461636E+21 |
Discriminant |
Eigenvalues |
0 3- -1 7- 2 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2359089,-3610503718] |
[a1,a2,a3,a4,a6] |
j |
12341509011613712384/55029366557842131 |
j-invariant |
L |
1.0799375538525 |
L(r)(E,1)/r! |
Ω |
0.067496098049424 |
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 |
11193c1 |
Quadratic twists by: -7 |