Atkin-Lehner |
5- 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20615j |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
15232 |
Modular degree for the optimal curve |
Δ |
-189722421875 = -1 · 57 · 7 · 192 · 312 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 3 3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1255,11688] |
[a1,a2,a3,a4,a6] |
Generators |
[44:387:1] |
Generators of the group modulo torsion |
j |
218428242919424/189722421875 |
j-invariant |
L |
4.2005325068932 |
L(r)(E,1)/r! |
Ω |
0.65568910510418 |
Real period |
R |
0.22879595975518 |
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 |
103075f1 |
Quadratic twists by: 5 |