Atkin-Lehner |
2- 3- 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818ba |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-50912170831872 = -1 · 212 · 38 · 72 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23405,1426133] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-776:1] [-129:1576:1] |
Generators of the group modulo torsion |
j |
-1944933354015625/69838368768 |
j-invariant |
L |
16.677657066028 |
L(r)(E,1)/r! |
Ω |
0.62900629666739 |
Real period |
R |
0.55238109815129 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39606f1 |
Quadratic twists by: -3 |