Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310v |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-527295615000 = -1 · 23 · 3 · 54 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2960,-71400] |
[a1,a2,a3,a4,a6] |
j |
-2868190647517441/527295615000 |
j-invariant |
L |
3.8451481731303 |
L(r)(E,1)/r! |
Ω |
0.32042901442753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480ci4 73920f3 6930f4 11550f4 |
Quadratic twists by: -4 8 -3 5 |