Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078ci |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
1046803411138028544 = 210 · 36 · 74 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-974204,366409181] |
[a1,a2,a3,a4,a6] |
Generators |
[93:16585:1] |
Generators of the group modulo torsion |
j |
21184262604460873/216872764416 |
j-invariant |
L |
8.2393954913513 |
L(r)(E,1)/r! |
Ω |
0.27786597666601 |
Real period |
R |
0.74131021615691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002857 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
462b2 |
Quadratic twists by: 13 |