Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610j |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-9671304960000 = -1 · 211 · 33 · 54 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1690254,846239060] |
[a1,a2,a3,a4,a6] |
Generators |
[751:-368:1] |
Generators of the group modulo torsion |
j |
-70681322281271643/1280000 |
j-invariant |
L |
5.1693080807206 |
L(r)(E,1)/r! |
Ω |
0.52123833181099 |
Real period |
R |
1.2396699756284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47610bg1 47610c1 |
Quadratic twists by: -3 -23 |