Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230v |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
401408 |
Modular degree for the optimal curve |
Δ |
9247510800 = 24 · 37 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12041031,16077115053] |
[a1,a2,a3,a4,a6] |
j |
193069973903416820479677169/9247510800 |
j-invariant |
L |
0.48470930632282 |
L(r)(E,1)/r! |
Ω |
0.48470930632282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840dc1 30690p1 51150v1 112530h1 |
Quadratic twists by: -4 -3 5 -11 |