Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610u |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-4.8034087190859E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -5 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,603720,280190200] |
[a1,a2,a3,a4,a6] |
Generators |
[12157535:907857170:2197] |
Generators of the group modulo torsion |
j |
63102533673332111/124556484375000 |
j-invariant |
L |
4.8378390769972 |
L(r)(E,1)/r! |
Ω |
0.13882803948126 |
Real period |
R |
8.7119271709474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870be1 47610bd1 |
Quadratic twists by: -3 -23 |