Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360k |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-24675307990548480 = -1 · 223 · 315 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -6 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7775,7550497] |
[a1,a2,a3,a4,a6] |
j |
198257271191/94128829920 |
j-invariant |
L |
0.58813957045101 |
L(r)(E,1)/r! |
Ω |
0.2940697851903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360cv1 1230b1 118080bj1 |
Quadratic twists by: -4 8 -3 |