Atkin-Lehner |
2+ 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99280d |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
1560840448000 = 211 · 53 · 174 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 1 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3656,61456] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:34:1] [-16:340:1] |
Generators of the group modulo torsion |
j |
2639557366418/762129125 |
j-invariant |
L |
8.8130853323236 |
L(r)(E,1)/r! |
Ω |
0.78688645679713 |
Real period |
R |
0.69999658599208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49640a1 |
Quadratic twists by: -4 |