Atkin-Lehner |
2- 3+ 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35742j |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-121953004647376896 = -1 · 211 · 36 · 73 · 235 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -4 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-542927,154666325] |
[a1,a2,a3,a4,a6] |
Generators |
[555:4690:1] |
Generators of the group modulo torsion |
j |
-17698973608598886383473/121953004647376896 |
j-invariant |
L |
4.153104828714 |
L(r)(E,1)/r! |
Ω |
0.33270179373355 |
Real period |
R |
0.1134814995109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107226f1 |
Quadratic twists by: -3 |