Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200de |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3228012000000 = -1 · 28 · 39 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 5 -4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,267,-86337] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1350:1] |
Generators of the group modulo torsion |
j |
524288/807003 |
j-invariant |
L |
7.0680126865547 |
L(r)(E,1)/r! |
Ω |
0.37034754219457 |
Real period |
R |
0.53013362684505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12300a1 1968f1 |
Quadratic twists by: -4 5 |