Atkin-Lehner |
2+ 3+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
22152a |
Isogeny class |
Conductor |
22152 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-371631876096 = -1 · 211 · 3 · 132 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -3 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,760,27948] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:923:8] |
Generators of the group modulo torsion |
j |
23673527278/181460877 |
j-invariant |
L |
4.6752047155497 |
L(r)(E,1)/r! |
Ω |
0.69544649242328 |
Real period |
R |
1.1204324048135 |
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 |
44304b1 66456d1 |
Quadratic twists by: -4 -3 |