Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440t |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
298368 |
Modular degree for the optimal curve |
Δ |
-352529110752000 = -1 · 28 · 3 · 53 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 1 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48820,4265332] |
[a1,a2,a3,a4,a6] |
j |
-177953104/4875 |
j-invariant |
L |
3.2229156404356 |
L(r)(E,1)/r! |
Ω |
0.53715260698798 |
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 |
76440v1 |
Quadratic twists by: -7 |