Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610n |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
80357180854763520 = 226 · 39 · 5 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-565830,163396660] |
[a1,a2,a3,a4,a6] |
Generators |
[357:2429:1] |
Generators of the group modulo torsion |
j |
2258764829526743/9059696640 |
j-invariant |
L |
3.9577145757232 |
L(r)(E,1)/r! |
Ω |
0.34426823138818 |
Real period |
R |
5.748010148615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870ba1 47610x1 |
Quadratic twists by: -3 -23 |