Atkin-Lehner |
5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7105d |
Isogeny class |
Conductor |
7105 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-597068675 = -1 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
0 3 5- 7- -2 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,98,-1115] |
[a1,a2,a3,a4,a6] |
j |
884736/5075 |
j-invariant |
L |
3.266925306086 |
L(r)(E,1)/r! |
Ω |
0.81673132652149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113680ca1 63945h1 35525k1 1015c1 |
Quadratic twists by: -4 -3 5 -7 |