Atkin-Lehner |
2- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23920v |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
153088000 = 212 · 53 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- -1 6 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200,-848] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] |
Generators of the group modulo torsion |
j |
217081801/37375 |
j-invariant |
L |
4.8648327326354 |
L(r)(E,1)/r! |
Ω |
1.2839157444585 |
Real period |
R |
0.63150986265163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1495d1 95680bf1 119600m1 |
Quadratic twists by: -4 8 5 |