Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800f |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
701568 |
Modular degree for the optimal curve |
Δ |
35714095155200 = 211 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- -4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129768,-17947348] |
[a1,a2,a3,a4,a6] |
j |
818795810/121 |
j-invariant |
L |
0.50308415367903 |
L(r)(E,1)/r! |
Ω |
0.25154241379222 |
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 |
107800ce1 107800v1 |
Quadratic twists by: 5 -7 |