Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960bf |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6795176012101877760 = 215 · 38 · 5 · 436 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-746283,-214116262] |
[a1,a2,a3,a4,a6] |
Generators |
[-539:5616:1] |
Generators of the group modulo torsion |
j |
15393836938735081/2275690697640 |
j-invariant |
L |
3.8932753023533 |
L(r)(E,1)/r! |
Ω |
0.16403909997745 |
Real period |
R |
2.9667281328723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870s4 123840gk4 10320v4 |
Quadratic twists by: -4 8 -3 |