Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990t |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4183818240000 = -1 · 224 · 3 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3830,-35305] |
[a1,a2,a3,a4,a6] |
Generators |
[13:123:1] |
Generators of the group modulo torsion |
j |
6213165856218719/4183818240000 |
j-invariant |
L |
4.5622472953788 |
L(r)(E,1)/r! |
Ω |
0.44260199811033 |
Real period |
R |
1.7179645651764 |
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 |
31920cc1 127680cf1 11970q1 19950w1 |
Quadratic twists by: -4 8 -3 5 |