Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710c |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-198550 = -1 · 2 · 52 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20,46] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] [-3:10:1] |
Generators of the group modulo torsion |
j |
-2520369/550 |
j-invariant |
L |
5.746691773197 |
L(r)(E,1)/r! |
Ω |
3.0379385177791 |
Real period |
R |
0.9458209472584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39710o1 |
Quadratic twists by: -19 |