Atkin-Lehner |
2- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
22204c |
Isogeny class |
Conductor |
22204 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4247536384 = -1 · 28 · 73 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 0 13+ -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,352,-1836] |
[a1,a2,a3,a4,a6] |
Generators |
[29:181:1] [117:1281:1] |
Generators of the group modulo torsion |
j |
18841337856/16591939 |
j-invariant |
L |
7.2438291337441 |
L(r)(E,1)/r! |
Ω |
0.76134745350382 |
Real period |
R |
1.5857475454444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88816g1 |
Quadratic twists by: -4 |