Atkin-Lehner |
2+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99238f |
Isogeny class |
Conductor |
99238 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7156800 |
Modular degree for the optimal curve |
Δ |
7085524692932222 = 2 · 297 · 593 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 3 5 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52090717,-144711031134] |
[a1,a2,a3,a4,a6] |
j |
26279477046180740017/11911982 |
j-invariant |
L |
0.67435834864422 |
L(r)(E,1)/r! |
Ω |
0.056196526390157 |
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 |
3422g1 |
Quadratic twists by: 29 |