Atkin-Lehner |
2- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
110960k |
Isogeny class |
Conductor |
110960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-227246080 = -1 · 215 · 5 · 19 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 3 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,-716] |
[a1,a2,a3,a4,a6] |
Generators |
[12:38:1] |
Generators of the group modulo torsion |
j |
357911/55480 |
j-invariant |
L |
3.7383074137227 |
L(r)(E,1)/r! |
Ω |
0.83463319493361 |
Real period |
R |
2.2394912013139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13870b1 |
Quadratic twists by: -4 |