Atkin-Lehner |
2+ 3+ 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810b |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2187086054400 = 210 · 34 · 52 · 132 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4498,89908] |
[a1,a2,a3,a4,a6] |
Generators |
[3:275:1] |
Generators of the group modulo torsion |
j |
10067761538210089/2187086054400 |
j-invariant |
L |
3.1491404767454 |
L(r)(E,1)/r! |
Ω |
0.77671720402721 |
Real period |
R |
2.0272117447749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92430bq2 |
Quadratic twists by: -3 |