Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310t |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2396798250 = 2 · 3 · 53 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5324001,-4728746769] |
[a1,a2,a3,a4,a6] |
j |
16689299266861680229173649/2396798250 |
j-invariant |
L |
3.5780180154621 |
L(r)(E,1)/r! |
Ω |
0.09938938931839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480bm8 73920bs7 6930o8 11550c7 |
Quadratic twists by: -4 8 -3 5 |