Atkin-Lehner |
2- 3+ 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
113652h |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-13592755105776 = -1 · 24 · 33 · 73 · 113 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5931,23581] |
[a1,a2,a3,a4,a6] |
Generators |
[5:231:1] |
Generators of the group modulo torsion |
j |
53410142589696/31464710893 |
j-invariant |
L |
3.792381297534 |
L(r)(E,1)/r! |
Ω |
0.42945272449682 |
Real period |
R |
0.49059614190771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004419 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113652g2 |
Quadratic twists by: -3 |