Atkin-Lehner |
2+ 3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30090b |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.9953409271281E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6328534,-6071462104] |
[a1,a2,a3,a4,a6] |
Generators |
[-195495:-46039:125] |
Generators of the group modulo torsion |
j |
28030636952774590224333529/299534092712814840000 |
j-invariant |
L |
4.2131641793865 |
L(r)(E,1)/r! |
Ω |
0.095247621066202 |
Real period |
R |
5.5292249457576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90270bc3 |
Quadratic twists by: -3 |