Atkin-Lehner |
2+ 3- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950u |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-160982527065750000 = -1 · 24 · 37 · 56 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3751,19303898] |
[a1,a2,a3,a4,a6] |
Generators |
[403:-9328:1] |
Generators of the group modulo torsion |
j |
-373403541601/10302881732208 |
j-invariant |
L |
4.6469439687165 |
L(r)(E,1)/r! |
Ω |
0.25820518723295 |
Real period |
R |
0.4285023242251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758e1 |
Quadratic twists by: 5 |