Atkin-Lehner |
2+ 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880g |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-559889252352000 = -1 · 229 · 34 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 5 3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2239,1136961] |
[a1,a2,a3,a4,a6] |
j |
4733169839/2135808000 |
j-invariant |
L |
1.6120073697439 |
L(r)(E,1)/r! |
Ω |
0.40300187861608 |
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 |
98880bq1 3090m1 |
Quadratic twists by: -4 8 |