Atkin-Lehner |
2- 3- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19314q |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
-24924412302336 = -1 · 210 · 36 · 293 · 372 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -5 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-134447,-18942537] |
[a1,a2,a3,a4,a6] |
j |
-368677389247668649/34189865984 |
j-invariant |
L |
2.4932143145556 |
L(r)(E,1)/r! |
Ω |
0.12466071572778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2146b1 |
Quadratic twists by: -3 |