Atkin-Lehner |
3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13005f |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-880885546875 = -1 · 33 · 58 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5- 1 -2 -7 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2113,24786] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:129:1] |
Generators of the group modulo torsion |
j |
462866157/390625 |
j-invariant |
L |
2.8455070700621 |
L(r)(E,1)/r! |
Ω |
0.57518700437079 |
Real period |
R |
0.10306456307685 |
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 |
13005c1 65025p1 13005a1 |
Quadratic twists by: -3 5 17 |