Atkin-Lehner |
2- 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434bi |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
75571200 |
Modular degree for the optimal curve |
Δ |
5.0961113853171E+27 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-779993393,-7648704220831] |
[a1,a2,a3,a4,a6] |
j |
71989466519382259510743643081/6990550597142848053706752 |
j-invariant |
L |
6.8990627942125 |
L(r)(E,1)/r! |
Ω |
0.028746094980352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23478p1 |
Quadratic twists by: -3 |