Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700s |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-11319918750000 = -1 · 24 · 33 · 58 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3467,142688] |
[a1,a2,a3,a4,a6] |
j |
18429771776/45279675 |
j-invariant |
L |
3.0049983648171 |
L(r)(E,1)/r! |
Ω |
0.50083306495651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540b1 |
Quadratic twists by: 5 |