Atkin-Lehner |
2- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050p |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
7360320 |
Modular degree for the optimal curve |
Δ |
-2.6819128065553E+22 |
Discriminant |
Eigenvalues |
2- 2 5- 3 -4 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-610238,-7881560069] |
[a1,a2,a3,a4,a6] |
Generators |
[1240295:65543841:343] |
Generators of the group modulo torsion |
j |
-122825/131072 |
j-invariant |
L |
15.914819163048 |
L(r)(E,1)/r! |
Ω |
0.053583882794546 |
Real period |
R |
2.9118389846398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84050e1 84050q1 |
Quadratic twists by: 5 41 |