Atkin-Lehner |
2+ 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
125136b |
Isogeny class |
Conductor |
125136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3108096 |
Modular degree for the optimal curve |
Δ |
-218622674958336 = -1 · 211 · 39 · 11 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 11- 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7429779,-7794925326] |
[a1,a2,a3,a4,a6] |
j |
-1125201117256392582/5423429 |
j-invariant |
L |
1.4631060271698 |
L(r)(E,1)/r! |
Ω |
0.045722038492482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62568a1 125136a1 |
Quadratic twists by: -4 -3 |