Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bf |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
507132360 = 23 · 33 · 5 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-219518,39641861] |
[a1,a2,a3,a4,a6] |
j |
43327986260096369187/18782680 |
j-invariant |
L |
3.9971665127741 |
L(r)(E,1)/r! |
Ω |
0.99929162819353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
23310f4 116550a2 |
Quadratic twists by: -3 5 |