Atkin-Lehner |
2- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98600o |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-6704800000000 = -1 · 211 · 58 · 172 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8208,-314912] |
[a1,a2,a3,a4,a6] |
Generators |
[307:5118:1] |
Generators of the group modulo torsion |
j |
-76453730/8381 |
j-invariant |
L |
2.9349191455613 |
L(r)(E,1)/r! |
Ω |
0.24924652674527 |
Real period |
R |
5.8875828274027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98600c1 |
Quadratic twists by: 5 |