Atkin-Lehner |
2- 3- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19314n |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-2295756931671342 = -1 · 2 · 39 · 292 · 375 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -1 5 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16214,2442435] |
[a1,a2,a3,a4,a6] |
Generators |
[150:11637:8] |
Generators of the group modulo torsion |
j |
-646608751905817/3149186463198 |
j-invariant |
L |
8.055328574231 |
L(r)(E,1)/r! |
Ω |
0.39989981882367 |
Real period |
R |
5.0358416002327 |
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 |
6438a1 |
Quadratic twists by: -3 |