Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dl |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
363977506816 = 222 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- 3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3169,-61183] |
[a1,a2,a3,a4,a6] |
j |
13430356633/1388464 |
j-invariant |
L |
2.5621670350853 |
L(r)(E,1)/r! |
Ω |
0.64054174918353 |
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 |
113344z1 28336p1 |
Quadratic twists by: -4 8 |