Atkin-Lehner |
3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3717a |
Isogeny class |
Conductor |
3717 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
56903553 = 39 · 72 · 59 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 4 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96,35] |
[a1,a2,a3,a4,a6] |
Generators |
[38:205:1] |
Generators of the group modulo torsion |
j |
5000211/2891 |
j-invariant |
L |
4.6498905201141 |
L(r)(E,1)/r! |
Ω |
1.6813095421362 |
Real period |
R |
2.7656361922541 |
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 |
59472x1 3717b1 92925b1 26019b1 |
Quadratic twists by: -4 -3 5 -7 |