Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
107604y |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
61022938155984 = 24 · 312 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12936,423605] |
[a1,a2,a3,a4,a6] |
Generators |
[-1006:1989:8] |
Generators of the group modulo torsion |
j |
174456832/44469 |
j-invariant |
L |
6.4531296630924 |
L(r)(E,1)/r! |
Ω |
0.58385056595877 |
Real period |
R |
5.5263538815336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999693927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35868e1 2196c1 |
Quadratic twists by: -3 -7 |