Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5208m |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
3572688 = 24 · 3 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47,-102] |
[a1,a2,a3,a4,a6] |
j |
733001728/223293 |
j-invariant |
L |
3.7264957066869 |
L(r)(E,1)/r! |
Ω |
1.8632478533435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416b1 41664u1 15624m1 36456v1 |
Quadratic twists by: -4 8 -3 -7 |