Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59840f |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-8425472000 = -1 · 215 · 53 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 11- -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1281,18625] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-88:1] [-24:187:1] |
Generators of the group modulo torsion |
j |
-7100029448/257125 |
j-invariant |
L |
8.0766203865409 |
L(r)(E,1)/r! |
Ω |
1.2992913032266 |
Real period |
R |
0.77702170853398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840a1 29920j1 |
Quadratic twists by: -4 8 |