Atkin-Lehner |
2- 3+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070q |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
22997460937500000 = 25 · 33 · 514 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79748,4699847] |
[a1,a2,a3,a4,a6] |
j |
2077371853704481347/851757812500000 |
j-invariant |
L |
3.4461281831954 |
L(r)(E,1)/r! |
Ω |
0.34461281800722 |
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 |
56070d2 |
Quadratic twists by: -3 |