Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
80688u |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
19531660032 = 28 · 33 · 414 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -1 -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7284,-236772] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1148:1] |
Generators of the group modulo torsion |
j |
59090512/27 |
j-invariant |
L |
4.2630529020386 |
L(r)(E,1)/r! |
Ω |
0.51678989340679 |
Real period |
R |
2.749700894828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172i1 80688be1 |
Quadratic twists by: -4 41 |