Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dn |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-11452424256 = -1 · 26 · 32 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,376,-4194] |
[a1,a2,a3,a4,a6] |
Generators |
[1130:13593:8] |
Generators of the group modulo torsion |
j |
778688/1521 |
j-invariant |
L |
7.8027811824787 |
L(r)(E,1)/r! |
Ω |
0.66531997504105 |
Real period |
R |
5.8639312339393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304bc1 61152bk2 2496e1 |
Quadratic twists by: -4 8 -7 |