Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230ef |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
1247540700724496640 = 28 · 310 · 5 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-583727,163174839] |
[a1,a2,a3,a4,a6] |
j |
12796484219/725760 |
j-invariant |
L |
4.2963253551509 |
L(r)(E,1)/r! |
Ω |
0.26852033355514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410c1 76230cd1 |
Quadratic twists by: -3 -11 |