Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
2190j |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
6570000 = 24 · 32 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8556,301053] |
[a1,a2,a3,a4,a6] |
Generators |
[37:173:1] |
Generators of the group modulo torsion |
j |
69269046933912769/6570000 |
j-invariant |
L |
3.8347791740849 |
L(r)(E,1)/r! |
Ω |
1.8233246980031 |
Real period |
R |
2.103179525997 |
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 |
17520u1 70080bf1 6570n1 10950k1 |
Quadratic twists by: -4 8 -3 5 |