Atkin-Lehner |
2+ 3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15990c |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
3453840 = 24 · 34 · 5 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43,-83] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] [-3:7:1] |
Generators of the group modulo torsion |
j |
9116230969/3453840 |
j-invariant |
L |
4.1247320136977 |
L(r)(E,1)/r! |
Ω |
1.9188452762127 |
Real period |
R |
2.1495907277313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920bx1 47970bn1 79950bv1 |
Quadratic twists by: -4 -3 5 |