Atkin-Lehner |
2+ 5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
13390c |
Isogeny class |
Conductor |
13390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
1046093750 = 2 · 58 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -3 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-269,-617] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:14:1] |
Generators of the group modulo torsion |
j |
2157189905961/1046093750 |
j-invariant |
L |
3.5533031423627 |
L(r)(E,1)/r! |
Ω |
1.2374359433586 |
Real period |
R |
0.35893808902126 |
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 |
107120o1 120510bb1 66950bc1 |
Quadratic twists by: -4 -3 5 |