Atkin-Lehner |
2- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27650bb |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-18280894194483200 = -1 · 215 · 52 · 710 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 2 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,64022,1881591] |
[a1,a2,a3,a4,a6] |
Generators |
[453:46219:27] |
Generators of the group modulo torsion |
j |
1160836327766905655/731235767779328 |
j-invariant |
L |
7.8254233110567 |
L(r)(E,1)/r! |
Ω |
0.24062010342519 |
Real period |
R |
5.4203169225838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
27650e2 |
Quadratic twists by: 5 |