Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38962i |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-777481376258048 = -1 · 211 · 7 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 11- 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3749,1340189] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1152:1] |
Generators of the group modulo torsion |
j |
3288008303/438867968 |
j-invariant |
L |
2.1453241769871 |
L(r)(E,1)/r! |
Ω |
0.3879098909736 |
Real period |
R |
2.7652352091411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542s1 |
Quadratic twists by: -11 |