Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800a |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.076561880625E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6022075,2726552250] |
[a1,a2,a3,a4,a6] |
Generators |
[213577:101682108:2197] |
Generators of the group modulo torsion |
j |
1509531602170901796/672851175390625 |
j-invariant |
L |
4.3872448807938 |
L(r)(E,1)/r! |
Ω |
0.11511941205251 |
Real period |
R |
9.5275957429155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15400d2 123200ej2 6160a2 |
Quadratic twists by: -4 8 5 |