Atkin-Lehner |
2- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
71632h |
Isogeny class |
Conductor |
71632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
-3913715692084363264 = -1 · 215 · 119 · 373 |
Discriminant |
Eigenvalues |
2- -2 3 0 11+ 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16594464,26013784564] |
[a1,a2,a3,a4,a6] |
j |
-52326213849827/405224 |
j-invariant |
L |
1.778730596024 |
L(r)(E,1)/r! |
Ω |
0.22234132648329 |
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 |
8954e1 71632i1 |
Quadratic twists by: -4 -11 |