Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136z |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3365386113024 = -1 · 212 · 39 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,-93312] |
[a1,a2,a3,a4,a6] |
j |
-8489664/41743 |
j-invariant |
L |
3.9539369940758 |
L(r)(E,1)/r! |
Ω |
0.32949475047908 |
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 |
71136y1 71136f1 |
Quadratic twists by: -4 -3 |