Atkin-Lehner |
3- 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15105d |
Isogeny class |
Conductor |
15105 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3936 |
Modular degree for the optimal curve |
Δ |
-2582955 = -1 · 33 · 5 · 192 · 53 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 6 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,20,76] |
[a1,a2,a3,a4,a6] |
Generators |
[8:28:1] |
Generators of the group modulo torsion |
j |
841232384/2582955 |
j-invariant |
L |
3.1080379845583 |
L(r)(E,1)/r! |
Ω |
1.8098864806836 |
Real period |
R |
0.28620929339395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45315f1 75525d1 |
Quadratic twists by: -3 5 |