Atkin-Lehner |
2+ 3- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390x |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
436348500282498960 = 24 · 36 · 5 · 135 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294219,-52491915] |
[a1,a2,a3,a4,a6] |
j |
3863751256268453809/598557613556240 |
j-invariant |
L |
0.82850556924023 |
L(r)(E,1)/r! |
Ω |
0.20712639160657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710i1 |
Quadratic twists by: -3 |