Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
69264t |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-269298432 = -1 · 28 · 37 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,4124] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:90:1] [10:-18:1] |
Generators of the group modulo torsion |
j |
-65536000/1443 |
j-invariant |
L |
9.1959550936531 |
L(r)(E,1)/r! |
Ω |
1.7411618599498 |
Real period |
R |
0.66018812676297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17316b1 23088k1 |
Quadratic twists by: -4 -3 |