Atkin-Lehner |
2+ 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488d |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-113258186496 = -1 · 28 · 39 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,729,-14310] |
[a1,a2,a3,a4,a6] |
Generators |
[19:80:1] |
Generators of the group modulo torsion |
j |
8503056/22477 |
j-invariant |
L |
3.2678217197159 |
L(r)(E,1)/r! |
Ω |
0.5422082511134 |
Real period |
R |
3.0134378775538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998679891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124488ba1 |
Quadratic twists by: -3 |