Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310k |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
338378906250 = 2 · 32 · 512 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7718,258806] |
[a1,a2,a3,a4,a6] |
Generators |
[60:82:1] |
Generators of the group modulo torsion |
j |
50834334659676121/338378906250 |
j-invariant |
L |
2.7906020767812 |
L(r)(E,1)/r! |
Ω |
0.96630979261796 |
Real period |
R |
0.48131598135846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480cl3 73920j3 6930z3 11550bs4 |
Quadratic twists by: -4 8 -3 5 |