Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430x |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-28405739275200 = -1 · 26 · 38 · 52 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1755,254421] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-549:1] |
Generators of the group modulo torsion |
j |
6967871/331200 |
j-invariant |
L |
4.6480473570555 |
L(r)(E,1)/r! |
Ω |
0.50426506044607 |
Real period |
R |
1.1521835720903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810dj1 2070h1 |
Quadratic twists by: -3 -7 |