Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800go |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
-224135462880000 = -1 · 28 · 35 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45733,-3817463] |
[a1,a2,a3,a4,a6] |
Generators |
[6771:17542:27] |
Generators of the group modulo torsion |
j |
-11468800/243 |
j-invariant |
L |
4.7293682429853 |
L(r)(E,1)/r! |
Ω |
0.16302961243602 |
Real period |
R |
4.8348764908314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700bo1 58800hv1 58800jt1 |
Quadratic twists by: -4 5 -7 |