Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bj |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-17560279531520 = -1 · 214 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1775,-200143] |
[a1,a2,a3,a4,a6] |
Generators |
[53:200:1] |
Generators of the group modulo torsion |
j |
176/5 |
j-invariant |
L |
4.269140673519 |
L(r)(E,1)/r! |
Ω |
0.33405186136834 |
Real period |
R |
3.1949684818633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720dd1 2420d1 38720bh1 |
Quadratic twists by: -4 8 -11 |