Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368b |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14842341835776 = 210 · 36 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40152,3104640] |
[a1,a2,a3,a4,a6] |
Generators |
[12:1620:1] |
Generators of the group modulo torsion |
j |
6991270724335972/14494474449 |
j-invariant |
L |
3.3779180509927 |
L(r)(E,1)/r! |
Ω |
0.7024496376305 |
Real period |
R |
2.4043845067577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2184l2 17472ct2 13104n2 109200cc2 |
Quadratic twists by: -4 8 -3 5 |