Atkin-Lehner |
2+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29450m |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
18406250000 = 24 · 59 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1701,26048] |
[a1,a2,a3,a4,a6] |
Generators |
[31:42:1] |
Generators of the group modulo torsion |
j |
278445077/9424 |
j-invariant |
L |
3.1965254088368 |
L(r)(E,1)/r! |
Ω |
1.217476113106 |
Real period |
R |
2.625534394003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29450w1 |
Quadratic twists by: 5 |