Atkin-Lehner |
2+ 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560p |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
45522842400000 = 28 · 39 · 55 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -5 -7 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16345,730475] |
[a1,a2,a3,a4,a6] |
Generators |
[35:450:1] [-115:1050:1] |
Generators of the group modulo torsion |
j |
1886535976938496/177823603125 |
j-invariant |
L |
11.006391428605 |
L(r)(E,1)/r! |
Ω |
0.62162180899054 |
Real period |
R |
0.049183135278913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120m1 |
Quadratic twists by: -4 |