Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
3738c |
Isogeny class |
Conductor |
3738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-807408 = -1 · 24 · 34 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
103823/807408 |
j-invariant |
L |
4.0397176427805 |
L(r)(E,1)/r! |
Ω |
1.3069400211796 |
Real period |
R |
1.5454870067925 |
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 |
29904e1 119616n1 11214g1 93450x1 |
Quadratic twists by: -4 8 -3 5 |