Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3255d |
Isogeny class |
Conductor |
3255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
908145 = 33 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18920,993800] |
[a1,a2,a3,a4,a6] |
Generators |
[791440:8385989:4096] |
Generators of the group modulo torsion |
j |
749011598724977281/908145 |
j-invariant |
L |
1.9473486085038 |
L(r)(E,1)/r! |
Ω |
1.7776555623624 |
Real period |
R |
8.7636712071082 |
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 |
52080cf1 9765e1 16275t1 22785o1 |
Quadratic twists by: -4 -3 5 -7 |