Atkin-Lehner |
2+ 3- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bk |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
185927586300 = 22 · 310 · 52 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 -5 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8181,283348] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-186:1] |
Generators of the group modulo torsion |
j |
2421734721227185/7437103452 |
j-invariant |
L |
7.5928672698526 |
L(r)(E,1)/r! |
Ω |
1.0141638666601 |
Real period |
R |
0.18717062124099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650cm1 |
Quadratic twists by: 5 |