Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200r |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-99399150000000000 = -1 · 210 · 39 · 511 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 -3 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-223008,43354512] |
[a1,a2,a3,a4,a6] |
j |
-76659680596324/6212446875 |
j-invariant |
L |
2.6389668886216 |
L(r)(E,1)/r! |
Ω |
0.32987100391774 |
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 |
60600o1 24240q1 |
Quadratic twists by: -4 5 |