Atkin-Lehner |
2+ 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608b |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
6644736 = 210 · 32 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-232,-1280] |
[a1,a2,a3,a4,a6] |
Generators |
[24:80:1] |
Generators of the group modulo torsion |
j |
1354435492/6489 |
j-invariant |
L |
5.9698503824865 |
L(r)(E,1)/r! |
Ω |
1.2231983723947 |
Real period |
R |
2.4402625597021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17304h1 103824s1 |
Quadratic twists by: -4 -3 |