Atkin-Lehner |
2- 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bi |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
19211388715008000 = 235 · 32 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73536,3824640] |
[a1,a2,a3,a4,a6] |
j |
10736671807326529/4690280448000 |
j-invariant |
L |
2.7810961318157 |
L(r)(E,1)/r! |
Ω |
0.34763701522881 |
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 |
14910bc1 |
Quadratic twists by: -4 |