Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7029f |
Isogeny class |
Conductor |
7029 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
122045014538469 = 36 · 119 · 71 |
Discriminant |
Eigenvalues |
0 3- 1 -3 11- 7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12402,-9376] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:544:1] |
Generators of the group modulo torsion |
j |
289381900713984/167414286061 |
j-invariant |
L |
3.3571913606465 |
L(r)(E,1)/r! |
Ω |
0.49578916521007 |
Real period |
R |
0.1880947025819 |
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 |
112464ba1 781a1 77319o1 |
Quadratic twists by: -4 -3 -11 |