Atkin-Lehner |
2- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7670i |
Isogeny class |
Conductor |
7670 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
18534126481855400 = 23 · 52 · 133 · 596 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-72345,-3638063] |
[a1,a2,a3,a4,a6] |
j |
41874501527782494481/18534126481855400 |
j-invariant |
L |
2.7293724908491 |
L(r)(E,1)/r! |
Ω |
0.30326361009435 |
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 |
61360u4 69030n4 38350a4 99710d4 |
Quadratic twists by: -4 -3 5 13 |