Atkin-Lehner |
3+ 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15105a |
Isogeny class |
Conductor |
15105 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-679753684395 = -1 · 39 · 5 · 194 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 -4 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8305,-291249] |
[a1,a2,a3,a4,a6] |
j |
-63357045175484416/679753684395 |
j-invariant |
L |
0.49978428504428 |
L(r)(E,1)/r! |
Ω |
0.24989214252214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45315c1 75525h1 |
Quadratic twists by: -3 5 |