Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730bi |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
2908706734080 = 215 · 36 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13928,-623829] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:105:1] |
Generators of the group modulo torsion |
j |
409857819530041/3989995520 |
j-invariant |
L |
9.0807241970312 |
L(r)(E,1)/r! |
Ω |
0.43972894351167 |
Real period |
R |
0.68835770543269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970d1 |
Quadratic twists by: -3 |