Atkin-Lehner |
2- 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350bm |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
-6185741380000 = -1 · 25 · 54 · 72 · 135 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 1 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2912,-103008] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1130:1] |
Generators of the group modulo torsion |
j |
4369266001775/9897186208 |
j-invariant |
L |
6.850603043424 |
L(r)(E,1)/r! |
Ω |
0.39111310991997 |
Real period |
R |
0.3503131381543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77350l1 |
Quadratic twists by: 5 |