Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504b |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-992256 = -1 · 210 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 -2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,48] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
-4/969 |
j-invariant |
L |
4.8901085223933 |
L(r)(E,1)/r! |
Ω |
2.2128596538471 |
Real period |
R |
1.1049296583025 |
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 |
7752j1 62016cr1 46512d1 |
Quadratic twists by: -4 8 -3 |