Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925w |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-454675306640625 = -1 · 36 · 59 · 75 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14395,-784978] |
[a1,a2,a3,a4,a6] |
Generators |
[574:13725:1] |
Generators of the group modulo torsion |
j |
28962726911/39916625 |
j-invariant |
L |
2.7225932630783 |
L(r)(E,1)/r! |
Ω |
0.28056054214658 |
Real period |
R |
4.8520601689882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3325d1 5985s1 |
Quadratic twists by: -3 5 |