Atkin-Lehner |
2- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
77420f |
Isogeny class |
Conductor |
77420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
102013918496000 = 28 · 53 · 79 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12021,-141679] |
[a1,a2,a3,a4,a6] |
j |
6379012096/3387125 |
j-invariant |
L |
2.9055614468482 |
L(r)(E,1)/r! |
Ω |
0.48426024098154 |
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 |
11060c1 |
Quadratic twists by: -7 |