Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bk |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.31591796875E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85979675,252393858250] |
[a1,a2,a3,a4,a6] |
Generators |
[-113329606:12900175647:17576] |
Generators of the group modulo torsion |
j |
1098325674097093229481/205612182617187500 |
j-invariant |
L |
4.3149720790226 |
L(r)(E,1)/r! |
Ω |
0.067329938703628 |
Real period |
R |
16.021743677861 |
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 |
3850s4 123200ea3 6160p3 |
Quadratic twists by: -4 8 5 |