Atkin-Lehner |
2+ 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994n |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
600482224188288 = 27 · 34 · 138 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 4 3 6 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-199423,34174405] |
[a1,a2,a3,a4,a6] |
j |
1075241534809/736128 |
j-invariant |
L |
4.0830536988996 |
L(r)(E,1)/r! |
Ω |
0.51038171313839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994bf1 |
Quadratic twists by: 13 |