Atkin-Lehner |
2+ 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13202f |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
104544 |
Modular degree for the optimal curve |
Δ |
21957754741210624 = 29 · 711 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 2 -2 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-86859,6764989] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:4052:1] |
Generators of the group modulo torsion |
j |
72472960047622817593/21957754741210624 |
j-invariant |
L |
1.922579809236 |
L(r)(E,1)/r! |
Ω |
0.35395026508409 |
Real period |
R |
0.24689907015085 |
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 |
105616k1 118818bj1 92414l1 |
Quadratic twists by: -4 -3 -7 |