Atkin-Lehner |
2- 3+ 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614z |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
21362303812608 = 210 · 33 · 11 · 174 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58349,5434965] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:3060:1] |
Generators of the group modulo torsion |
j |
813679214926663539/791196437504 |
j-invariant |
L |
11.73613009162 |
L(r)(E,1)/r! |
Ω |
0.67680166410199 |
Real period |
R |
0.43351437795971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97614c1 |
Quadratic twists by: -3 |