Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4214d |
Isogeny class |
Conductor |
4214 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-888425011712 = -1 · 29 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 7- -1 2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2108,-58864] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2644:1] |
Generators of the group modulo torsion |
j |
-25672375/22016 |
j-invariant |
L |
5.969876429027 |
L(r)(E,1)/r! |
Ω |
0.3400294832387 |
Real period |
R |
0.97538542379805 |
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 |
33712q1 37926j1 105350p1 4214e1 |
Quadratic twists by: -4 -3 5 -7 |