Atkin-Lehner |
2- 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115444g |
Isogeny class |
Conductor |
115444 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1009584 |
Modular degree for the optimal curve |
Δ |
-243120656011445296 = -1 · 24 · 72 · 199 · 312 |
Discriminant |
Eigenvalues |
2- -2 1 7- -3 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,75675,22354072] |
[a1,a2,a3,a4,a6] |
j |
61130676141817856/310102877565619 |
j-invariant |
L |
0.44957454612161 |
L(r)(E,1)/r! |
Ω |
0.22478720540402 |
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 |
115444d1 |
Quadratic twists by: -7 |