Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dp |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
906174643798462500 = 22 · 312 · 55 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5439578,-4881528363] |
[a1,a2,a3,a4,a6] |
j |
13782741913468081/701662500 |
j-invariant |
L |
0.39542993125596 |
L(r)(E,1)/r! |
Ω |
0.098857491336689 |
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 |
25410p1 6930j1 |
Quadratic twists by: -3 -11 |