Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3762l |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-16296984 = -1 · 23 · 33 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 11+ -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34,-187] |
[a1,a2,a3,a4,a6] |
Generators |
[27:127:1] |
Generators of the group modulo torsion |
j |
165469149/603592 |
j-invariant |
L |
5.3879236970179 |
L(r)(E,1)/r! |
Ω |
1.11916150633 |
Real period |
R |
2.407125185482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30096p1 120384g1 3762b2 94050c1 |
Quadratic twists by: -4 8 -3 5 |