Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990b |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-6466493250 = -1 · 2 · 34 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8743,-318353] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1015:1] |
Generators of the group modulo torsion |
j |
-73923540638379769/6466493250 |
j-invariant |
L |
2.0568963735494 |
L(r)(E,1)/r! |
Ω |
0.24685713962393 |
Real period |
R |
4.1661674778435 |
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 |
31920bs1 127680cw1 11970by1 19950ct1 |
Quadratic twists by: -4 8 -3 5 |