Atkin-Lehner |
2- 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
43450w |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
75801493504000000 = 222 · 56 · 114 · 79 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 11- -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-558705,-160052703] |
[a1,a2,a3,a4,a6] |
Generators |
[-425:-492:1] |
Generators of the group modulo torsion |
j |
1234384987853171097/4851295584256 |
j-invariant |
L |
5.1011735752253 |
L(r)(E,1)/r! |
Ω |
0.17466530304203 |
Real period |
R |
0.33187977535942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1738c1 |
Quadratic twists by: 5 |