Atkin-Lehner |
2- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55300d |
Isogeny class |
Conductor |
55300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
18730801250000 = 24 · 57 · 74 · 792 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100700,-12297875] |
[a1,a2,a3,a4,a6] |
Generators |
[10173:48664:27] |
Generators of the group modulo torsion |
j |
451722907828224/74923205 |
j-invariant |
L |
5.2325477885628 |
L(r)(E,1)/r! |
Ω |
0.26800722959605 |
Real period |
R |
4.8809763420303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11060a1 |
Quadratic twists by: 5 |