Atkin-Lehner |
3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675k |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22800 |
Modular degree for the optimal curve |
Δ |
-495966796875 = -1 · 35 · 510 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 11- 2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1667,20943] |
[a1,a2,a3,a4,a6] |
Generators |
[21:254:1] |
Generators of the group modulo torsion |
j |
52428800/50787 |
j-invariant |
L |
2.4937545955433 |
L(r)(E,1)/r! |
Ω |
0.611678390613 |
Real period |
R |
4.0769048470784 |
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 |
47025s1 15675ba1 |
Quadratic twists by: -3 5 |