Atkin-Lehner |
2- 3+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bj |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-96325632000000 = -1 · 218 · 33 · 56 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -3 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10528,-226429] |
[a1,a2,a3,a4,a6] |
Generators |
[21:49:1] |
Generators of the group modulo torsion |
j |
4780091934295677/3567616000000 |
j-invariant |
L |
8.5907437083565 |
L(r)(E,1)/r! |
Ω |
0.33592722005326 |
Real period |
R |
1.0655512062232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995504 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
78390b2 |
Quadratic twists by: -3 |