Atkin-Lehner |
2- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14042g |
Isogeny class |
Conductor |
14042 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
3594752 = 29 · 7 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 0 0 7- 2 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
6913292625/3594752 |
j-invariant |
L |
7.5262874216443 |
L(r)(E,1)/r! |
Ω |
2.013700192781 |
Real period |
R |
0.41528235482044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112336g1 126378p1 98294l1 |
Quadratic twists by: -4 -3 -7 |