Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600v |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
979763200 = 217 · 52 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 3 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248,112] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:32:1] |
Generators of the group modulo torsion |
j |
16539745/9568 |
j-invariant |
L |
3.30124552995 |
L(r)(E,1)/r! |
Ω |
1.3244523936819 |
Real period |
R |
0.62313404924097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14950a1 119600ck1 |
Quadratic twists by: -4 5 |