Atkin-Lehner |
2+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120t |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
268697600 = 218 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -6 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1345,-19425] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1:1] |
Generators of the group modulo torsion |
j |
1027243729/1025 |
j-invariant |
L |
3.2910598692998 |
L(r)(E,1)/r! |
Ω |
0.78834822868713 |
Real period |
R |
2.0873135433947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120bm1 205b1 118080x1 65600v1 |
Quadratic twists by: -4 8 -3 5 |