Atkin-Lehner |
2+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118490h |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-86138294236160 = -1 · 210 · 5 · 177 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 0 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19803,1160166] |
[a1,a2,a3,a4,a6] |
Generators |
[597:22808:27] |
Generators of the group modulo torsion |
j |
-35578826569/3568640 |
j-invariant |
L |
5.9139523229578 |
L(r)(E,1)/r! |
Ω |
0.59089844431343 |
Real period |
R |
2.5021018220809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6970a1 |
Quadratic twists by: 17 |