Atkin-Lehner |
3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
76725c |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-27715440083203125 = -1 · 39 · 58 · 112 · 313 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11+ -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33117,8347166] |
[a1,a2,a3,a4,a6] |
j |
-522435555/3604711 |
j-invariant |
L |
1.2883456257978 |
L(r)(E,1)/r! |
Ω |
0.32208640946792 |
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 |
76725h1 76725a1 |
Quadratic twists by: -3 5 |