Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3690g |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15680 |
Modular degree for the optimal curve |
Δ |
-653672430000000 = -1 · 27 · 313 · 57 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 0 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20745,431325] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:609:1] |
Generators of the group modulo torsion |
j |
1354330706847119/896670000000 |
j-invariant |
L |
2.5920359511355 |
L(r)(E,1)/r! |
Ω |
0.32083473868907 |
Real period |
R |
2.0197594264001 |
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 |
29520bn1 118080cm1 1230k1 18450bu1 |
Quadratic twists by: -4 8 -3 5 |