Atkin-Lehner |
2- 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994bc |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
69027840 |
Modular degree for the optimal curve |
Δ |
-2.6710450331348E+26 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-944424309,-11199207950949] |
[a1,a2,a3,a4,a6] |
j |
-19300344879475253746008793/55337698946338258944 |
j-invariant |
L |
2.9407421569159 |
L(r)(E,1)/r! |
Ω |
0.013614546913088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5538f1 |
Quadratic twists by: 13 |