Atkin-Lehner |
2- 3+ 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15990p |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
430560 |
Modular degree for the optimal curve |
Δ |
-6910104265136718750 = -1 · 2 · 35 · 513 · 132 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,218935,-120079195] |
[a1,a2,a3,a4,a6] |
j |
1160564213304182035439/6910104265136718750 |
j-invariant |
L |
3.0757190156187 |
L(r)(E,1)/r! |
Ω |
0.1182968852161 |
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 |
127920cg1 47970m1 79950q1 |
Quadratic twists by: -4 -3 5 |