Atkin-Lehner |
2- 3+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19092b |
Isogeny class |
Conductor |
19092 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-13473178502832 = -1 · 24 · 35 · 374 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19541,-1059642] |
[a1,a2,a3,a4,a6] |
Generators |
[7149:94535:27] |
Generators of the group modulo torsion |
j |
-51578215013023744/842073656427 |
j-invariant |
L |
5.8956599833907 |
L(r)(E,1)/r! |
Ω |
0.20170186730092 |
Real period |
R |
4.8715959370165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76368q1 57276b1 |
Quadratic twists by: -4 -3 |