Atkin-Lehner |
2+ 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
112880b |
Isogeny class |
Conductor |
112880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-20878284800 = -1 · 211 · 52 · 173 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 1 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,200,6800] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:68:1] |
Generators of the group modulo torsion |
j |
429843598/10194475 |
j-invariant |
L |
6.4491527277464 |
L(r)(E,1)/r! |
Ω |
0.90885673369844 |
Real period |
R |
0.29566233003946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999044376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56440a1 |
Quadratic twists by: -4 |