Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310h |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
55440 = 24 · 32 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-74,236] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1:1] |
Generators of the group modulo torsion |
j |
43949604889/55440 |
j-invariant |
L |
2.6447793363754 |
L(r)(E,1)/r! |
Ω |
3.5247127559202 |
Real period |
R |
0.75035315485867 |
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 |
18480br1 73920by1 6930bm1 11550bm1 |
Quadratic twists by: -4 8 -3 5 |