Atkin-Lehner |
3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
91809f |
Isogeny class |
Conductor |
91809 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2611200 |
Modular degree for the optimal curve |
Δ |
6330852040656683349 = 310 · 1017 |
Discriminant |
Eigenvalues |
-2 3- 1 2 -6 1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-581457,-120287642] |
[a1,a2,a3,a4,a6] |
j |
28094464/8181 |
j-invariant |
L |
0.70698064760505 |
L(r)(E,1)/r! |
Ω |
0.1767451256204 |
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 |
30603c1 909b1 |
Quadratic twists by: -3 101 |