Atkin-Lehner |
3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94221a |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1017792 |
Modular degree for the optimal curve |
Δ |
13298129861103 = 33 · 198 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 4 2 2 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-898958,328287494] |
[a1,a2,a3,a4,a6] |
Generators |
[14898:-2950:27] |
Generators of the group modulo torsion |
j |
175205966787/29 |
j-invariant |
L |
7.011148265342 |
L(r)(E,1)/r! |
Ω |
0.55576414270254 |
Real period |
R |
2.1025550562651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94221b1 94221e1 |
Quadratic twists by: -3 -19 |