Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680f |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.61896250564E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1399323,-587626522] |
[a1,a2,a3,a4,a6] |
Generators |
[3392253574:241070318125:636056] |
Generators of the group modulo torsion |
j |
405929061432816484/35083409765625 |
j-invariant |
L |
3.6590615994393 |
L(r)(E,1)/r! |
Ω |
0.13957466975049 |
Real period |
R |
13.107899900391 |
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 |
9360l3 37440cc3 1560j3 23400bh3 |
Quadratic twists by: -4 8 -3 5 |