Atkin-Lehner |
2+ 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434t |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-7760605260247633728 = -1 · 26 · 36 · 1112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-343602,154922004] |
[a1,a2,a3,a4,a6] |
j |
-3473824173625/6009134912 |
j-invariant |
L |
0.83765335396328 |
L(r)(E,1)/r! |
Ω |
0.20941342533156 |
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 |
12826g1 10494d1 |
Quadratic twists by: -3 -11 |