Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3234r |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-85077671052528 = -1 · 24 · 32 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4754,-463345] |
[a1,a2,a3,a4,a6] |
j |
-100999381393/723148272 |
j-invariant |
L |
2.0383890743779 |
L(r)(E,1)/r! |
Ω |
0.25479863429724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25872co1 103488dd1 9702p1 80850ck1 |
Quadratic twists by: -4 8 -3 5 |