Atkin-Lehner |
2+ 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4422c |
Isogeny class |
Conductor |
4422 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3419445488226729984 = 216 · 38 · 116 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-500011,102769405] |
[a1,a2,a3,a4,a6] |
j |
13824955606018417112377/3419445488226729984 |
j-invariant |
L |
0.70535902689924 |
L(r)(E,1)/r! |
Ω |
0.23511967563308 |
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 |
35376x2 13266m2 110550ca2 48642q2 |
Quadratic twists by: -4 -3 5 -11 |