Atkin-Lehner |
2- 3+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19314h |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-37689021923328 = -1 · 215 · 33 · 292 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -3 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8380,-9241] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1789:1] |
Generators of the group modulo torsion |
j |
2410685685064125/1395889700864 |
j-invariant |
L |
7.534278070703 |
L(r)(E,1)/r! |
Ω |
0.38631022782145 |
Real period |
R |
0.97515902092362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
19314c2 |
Quadratic twists by: -3 |