Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850en |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
388241700000000 = 28 · 3 · 58 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27588,1475781] |
[a1,a2,a3,a4,a6] |
j |
1263214441/211200 |
j-invariant |
L |
4.0814532797913 |
L(r)(E,1)/r! |
Ω |
0.51018167375523 |
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 |
16170u1 1650t1 |
Quadratic twists by: 5 -7 |