Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015w |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
20917681785 = 38 · 5 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66448,-6598279] |
[a1,a2,a3,a4,a6] |
Generators |
[427:6338:1] |
Generators of the group modulo torsion |
j |
32445917389944971641/20917681785 |
j-invariant |
L |
7.5943503485988 |
L(r)(E,1)/r! |
Ω |
0.29735817042214 |
Real period |
R |
2.1282836390588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45045be1 75075b1 105105d1 |
Quadratic twists by: -3 5 -7 |