Atkin-Lehner |
2- 3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854k |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
28824305664 = 220 · 3 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-914,6431] |
[a1,a2,a3,a4,a6] |
Generators |
[7:17:1] |
Generators of the group modulo torsion |
j |
84448510979617/28824305664 |
j-invariant |
L |
4.5414536888697 |
L(r)(E,1)/r! |
Ω |
1.0854878659672 |
Real period |
R |
1.6735161511265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832ca1 23562j1 54978bx1 86394j1 |
Quadratic twists by: -4 -3 -7 -11 |