Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3444a |
Isogeny class |
Conductor |
3444 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-30012062976 = -1 · 28 · 35 · 7 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 2 3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3260,73224] |
[a1,a2,a3,a4,a6] |
Generators |
[25:82:1] |
Generators of the group modulo torsion |
j |
-14971653224656/117234621 |
j-invariant |
L |
3.1554759315441 |
L(r)(E,1)/r! |
Ω |
1.1823060501842 |
Real period |
R |
0.88963877868239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13776y1 55104ba1 10332c1 86100be1 |
Quadratic twists by: -4 8 -3 5 |