Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200br |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-48480000000000000 = -1 · 217 · 3 · 513 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 2 1 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101408,16365312] |
[a1,a2,a3,a4,a6] |
j |
-1802041022809/757500000 |
j-invariant |
L |
2.6790242376869 |
L(r)(E,1)/r! |
Ω |
0.33487811799728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bk1 24240bg1 |
Quadratic twists by: -4 5 |