Atkin-Lehner |
2- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150bl |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
5225472 |
Modular degree for the optimal curve |
Δ |
-4075022530880000000 = -1 · 212 · 57 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -2 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-997380,-395249753] |
[a1,a2,a3,a4,a6] |
j |
-1218150432009/45240320 |
j-invariant |
L |
10.853534266483 |
L(r)(E,1)/r! |
Ω |
0.075371761335782 |
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 |
23030c1 115150cs1 |
Quadratic twists by: 5 -7 |