Atkin-Lehner |
2- 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79618ba |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-21972020224 = -1 · 210 · 73 · 113 · 47 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 11+ -2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41,7129] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:83:1] [10:-93:1] |
Generators of the group modulo torsion |
j |
-5735339/16507904 |
j-invariant |
L |
11.067598887597 |
L(r)(E,1)/r! |
Ω |
0.96967617387765 |
Real period |
R |
0.19022843546157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79618c1 |
Quadratic twists by: -11 |