Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600bh |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1748938547200 = -1 · 213 · 52 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16008,-776848] |
[a1,a2,a3,a4,a6] |
Generators |
[233:2844:1] |
Generators of the group modulo torsion |
j |
-4430595600625/17079478 |
j-invariant |
L |
12.142071652461 |
L(r)(E,1)/r! |
Ω |
0.21216943700026 |
Real period |
R |
5.722818418042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14950n1 119600ci1 |
Quadratic twists by: -4 5 |