Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15345a |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-9613402734375 = -1 · 38 · 58 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4455,-96800] |
[a1,a2,a3,a4,a6] |
j |
13411719834479/13187109375 |
j-invariant |
L |
0.79228830385293 |
L(r)(E,1)/r! |
Ω |
0.39614415192646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115e1 76725p1 |
Quadratic twists by: -3 5 |