Atkin-Lehner |
2+ 7- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
124558k |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-117760541605112 = -1 · 23 · 710 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 0 1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-563085,162586848] |
[a1,a2,a3,a4,a6] |
j |
-69897891988057/416888 |
j-invariant |
L |
1.0505782511374 |
L(r)(E,1)/r! |
Ω |
0.52528924401628 |
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 |
124558a1 |
Quadratic twists by: -7 |