Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
114224n |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2889216 |
Modular degree for the optimal curve |
Δ |
-2.3668503356658E+19 |
Discriminant |
Eigenvalues |
2- 2 -1 0 11- 7 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-824776,371634672] |
[a1,a2,a3,a4,a6] |
Generators |
[13116282:644156742:4913] |
Generators of the group modulo torsion |
j |
-584043889/222784 |
j-invariant |
L |
10.382963173017 |
L(r)(E,1)/r! |
Ω |
0.20053297424263 |
Real period |
R |
12.944209320847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14278e1 114224o1 |
Quadratic twists by: -4 -11 |