Atkin-Lehner |
3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775s |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
4527208125 = 33 · 54 · 11 · 293 |
Discriminant |
Eigenvalues |
2 3+ 5- 0 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-104025,-12913819] |
[a1,a2,a3,a4,a6] |
Generators |
[23330:1251811:8] |
Generators of the group modulo torsion |
j |
7377226268774400/268279 |
j-invariant |
L |
13.32366740869 |
L(r)(E,1)/r! |
Ω |
0.2658368146969 |
Real period |
R |
8.353287100121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775p1 71775i1 |
Quadratic twists by: -3 5 |