Atkin-Lehner |
2+ 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070p |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
26387976683520000 = 220 · 38 · 54 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6475689,-6341119155] |
[a1,a2,a3,a4,a6] |
Generators |
[48706:-10758433:1] |
Generators of the group modulo torsion |
j |
41195916697879355491729/36197498880000 |
j-invariant |
L |
4.6566698415355 |
L(r)(E,1)/r! |
Ω |
0.094640729369343 |
Real period |
R |
6.1504569340363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690r1 |
Quadratic twists by: -3 |