Atkin-Lehner |
23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19573b |
Isogeny class |
Conductor |
19573 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46464 |
Modular degree for the optimal curve |
Δ |
2897506455397 = 238 · 37 |
Discriminant |
Eigenvalues |
-2 1 0 3 -1 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14988,-706514] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:53:1] |
Generators of the group modulo torsion |
j |
2515456000/19573 |
j-invariant |
L |
3.2771000613895 |
L(r)(E,1)/r! |
Ω |
0.43168303585491 |
Real period |
R |
3.7957248596758 |
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 |
851a1 |
Quadratic twists by: -23 |