Atkin-Lehner |
2- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1078g |
Isogeny class |
Conductor |
1078 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
245534404192 = 25 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11+ 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-278223,-56508775] |
[a1,a2,a3,a4,a6] |
j |
413160293352625/42592 |
j-invariant |
L |
3.1181180335845 |
L(r)(E,1)/r! |
Ω |
0.2078745355723 |
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 |
8624n2 34496g2 9702m2 26950c2 |
Quadratic twists by: -4 8 -3 5 |