Atkin-Lehner |
2+ 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088r |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-55053598794448896 = -1 · 222 · 32 · 196 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-584929,-172752769] |
[a1,a2,a3,a4,a6] |
j |
-84429456495634873/210012812784 |
j-invariant |
L |
1.035644801188 |
L(r)(E,1)/r! |
Ω |
0.086303616269855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088v1 3534b1 |
Quadratic twists by: -4 8 |