Atkin-Lehner |
2+ 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032c |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-102925056 = -1 · 28 · 3 · 133 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -5 -2 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-507] |
[a1,a2,a3,a4,a6] |
Generators |
[13:26:1] |
Generators of the group modulo torsion |
j |
-120472576/402051 |
j-invariant |
L |
3.2245113212037 |
L(r)(E,1)/r! |
Ω |
0.77251620336978 |
Real period |
R |
0.34783642801904 |
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 |
38064n1 57096p1 |
Quadratic twists by: -4 -3 |