Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bh |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
3012371646676992000 = 218 · 33 · 53 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-365903,-16776169] |
[a1,a2,a3,a4,a6] |
Generators |
[811:14406:1] |
Generators of the group modulo torsion |
j |
1355469437763/753664000 |
j-invariant |
L |
10.045497526028 |
L(r)(E,1)/r! |
Ω |
0.20816529085499 |
Real period |
R |
1.340480907262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47610k3 2070m1 |
Quadratic twists by: -3 -23 |