Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600ci |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-27327164800000000 = -1 · 213 · 58 · 135 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- -1 2 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400208,-97906412] |
[a1,a2,a3,a4,a6] |
j |
-4430595600625/17079478 |
j-invariant |
L |
1.5181615087795 |
L(r)(E,1)/r! |
Ω |
0.094885056776088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14950bc1 119600bh1 |
Quadratic twists by: -4 5 |