Atkin-Lehner |
2+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050h |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-5349735328000000000 = -1 · 214 · 59 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -1 -2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1261776,-556872802] |
[a1,a2,a3,a4,a6] |
j |
-2466412193329/59392000 |
j-invariant |
L |
0.85346783906988 |
L(r)(E,1)/r! |
Ω |
0.071122319001661 |
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 |
14210m1 71050w1 |
Quadratic twists by: 5 -7 |