Atkin-Lehner |
2+ 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
1818c |
Isogeny class |
Conductor |
1818 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1232 |
Modular degree for the optimal curve |
Δ |
-3560720256 = -1 · 27 · 33 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-591,6381] |
[a1,a2,a3,a4,a6] |
j |
-846322089579/131878528 |
j-invariant |
L |
0.90373392695269 |
L(r)(E,1)/r! |
Ω |
1.355600890429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14544o1 58176c1 1818i2 45450bq1 |
Quadratic twists by: -4 8 -3 5 |