Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200bx |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3701376 |
Modular degree for the optimal curve |
Δ |
-1.068495377449E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-525608,518681712] |
[a1,a2,a3,a4,a6] |
j |
-250917218570017/1669524027264 |
j-invariant |
L |
2.9160288238794 |
L(r)(E,1)/r! |
Ω |
0.16200160519178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150k1 4848p1 |
Quadratic twists by: -4 5 |