Atkin-Lehner |
2- 3+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390be |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
96422740277760000 = 212 · 39 · 54 · 134 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1061993,421241257] |
[a1,a2,a3,a4,a6] |
Generators |
[575:388:1] |
Generators of the group modulo torsion |
j |
6729720055741213803/4898782720000 |
j-invariant |
L |
10.396452199733 |
L(r)(E,1)/r! |
Ω |
0.33452436332555 |
Real period |
R |
1.2949296250365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78390c1 |
Quadratic twists by: -3 |