Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608a |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
5310851948494848 = 214 · 39 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239868,45081360] |
[a1,a2,a3,a4,a6] |
Generators |
[220:1720:1] |
Generators of the group modulo torsion |
j |
4732922819952/16468459 |
j-invariant |
L |
8.0857262333369 |
L(r)(E,1)/r! |
Ω |
0.43153392837834 |
Real period |
R |
4.6842934605797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608dr1 9576o1 76608b1 |
Quadratic twists by: -4 8 -3 |