Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ba |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1805235152486400 = 228 · 38 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35148,-1501328] |
[a1,a2,a3,a4,a6] |
j |
25128011089/9446400 |
j-invariant |
L |
1.4392580463223 |
L(r)(E,1)/r! |
Ω |
0.35981441460599 |
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 |
118080dy1 3690h1 39360bj1 |
Quadratic twists by: -4 8 -3 |