Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050dl |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5317439991806250000 = 24 · 34 · 58 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-476501,-61026352] |
[a1,a2,a3,a4,a6] |
j |
432252699481/192099600 |
j-invariant |
L |
3.0297357142506 |
L(r)(E,1)/r! |
Ω |
0.18935856693253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410ca2 11550ce2 |
Quadratic twists by: 5 -11 |