Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762f |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9.754947196137E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5487780,-4716747216] |
[a1,a2,a3,a4,a6] |
Generators |
[3765:165477:1] |
Generators of the group modulo torsion |
j |
155355156733986861625/8291568305839392 |
j-invariant |
L |
2.7684352077106 |
L(r)(E,1)/r! |
Ω |
0.098967053083637 |
Real period |
R |
2.3311084526374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096cq2 20286by2 966f2 |
Quadratic twists by: -4 -3 -7 |