Atkin-Lehner |
2- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99280o |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
88487231488000 = 225 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -5 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144416,-21167116] |
[a1,a2,a3,a4,a6] |
Generators |
[-27470:8704:125] |
Generators of the group modulo torsion |
j |
81322871837737249/21603328000 |
j-invariant |
L |
4.4158669839138 |
L(r)(E,1)/r! |
Ω |
0.24490767729108 |
Real period |
R |
2.2538426599933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410m1 |
Quadratic twists by: -4 |