Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19760c |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
91200 |
Modular degree for the optimal curve |
Δ |
-127334934350000 = -1 · 24 · 55 · 135 · 193 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 -2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3358,-548057] |
[a1,a2,a3,a4,a6] |
j |
-261725359417344/7958433396875 |
j-invariant |
L |
0.76489526938086 |
L(r)(E,1)/r! |
Ω |
0.25496508979362 |
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 |
9880a1 79040cd1 98800r1 |
Quadratic twists by: -4 8 5 |