Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13888s |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
888832 = 212 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292,-1920] |
[a1,a2,a3,a4,a6] |
Generators |
[22:48:1] |
Generators of the group modulo torsion |
j |
672221376/217 |
j-invariant |
L |
2.7970434291043 |
L(r)(E,1)/r! |
Ω |
1.154947532175 |
Real period |
R |
2.4217926366203 |
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 |
13888p1 6944b1 124992gi1 97216cd1 |
Quadratic twists by: -4 8 -3 -7 |