Atkin-Lehner |
2+ 3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550l |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-19595226121875000 = -1 · 23 · 315 · 58 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,64100,2545000] |
[a1,a2,a3,a4,a6] |
Generators |
[150:15425:8] |
Generators of the group modulo torsion |
j |
1864091337486911/1254094471800 |
j-invariant |
L |
2.6292696050104 |
L(r)(E,1)/r! |
Ω |
0.24235293429547 |
Real period |
R |
5.4244641453109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110bi1 |
Quadratic twists by: 5 |