Atkin-Lehner |
2- 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
59388c |
Isogeny class |
Conductor |
59388 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
12073430267136 = 28 · 34 · 78 · 101 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5749,-16297] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:294:1] |
Generators of the group modulo torsion |
j |
697827328/400869 |
j-invariant |
L |
10.292704061546 |
L(r)(E,1)/r! |
Ω |
0.59571961273895 |
Real period |
R |
0.7199069160324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8484a1 |
Quadratic twists by: -7 |