Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800i |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
21708800 = 214 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 3 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-373,2643] |
[a1,a2,a3,a4,a6] |
Generators |
[14:19:1] |
Generators of the group modulo torsion |
j |
14049280/53 |
j-invariant |
L |
4.9702514731494 |
L(r)(E,1)/r! |
Ω |
2.1586476245501 |
Real period |
R |
2.3024839333582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800bp1 5300d1 84800bk1 |
Quadratic twists by: -4 8 5 |