Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050m |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-1266467955200 = -1 · 29 · 52 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20851,-1161842] |
[a1,a2,a3,a4,a6] |
j |
-340836570625/430592 |
j-invariant |
L |
0.79454303673526 |
L(r)(E,1)/r! |
Ω |
0.19863576105956 |
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 |
71050cj1 1450b1 |
Quadratic twists by: 5 -7 |