Atkin-Lehner |
2- 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3774p |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-6862002978816 = -1 · 222 · 32 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 1 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4063,78815] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:208:1] |
Generators of the group modulo torsion |
j |
7417499034477167/6862002978816 |
j-invariant |
L |
3.5754433067121 |
L(r)(E,1)/r! |
Ω |
0.48929234299721 |
Real period |
R |
0.055358911916736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30192bj1 120768bt1 11322f1 94350o1 |
Quadratic twists by: -4 8 -3 5 |