Atkin-Lehner |
2+ 3- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69030t |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
126846720 |
Modular degree for the optimal curve |
Δ |
2.2924571518224E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 3 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4045192524,-98758438621232] |
[a1,a2,a3,a4,a6] |
Generators |
[-35863:451484:1] |
Generators of the group modulo torsion |
j |
10041850968216413574571976426689/31446600162172884000000000 |
j-invariant |
L |
4.0362061174379 |
L(r)(E,1)/r! |
Ω |
0.018934180761049 |
Real period |
R |
5.921398870738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010l1 |
Quadratic twists by: -3 |