Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634cd |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-97161522432786 = -1 · 2 · 313 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 6 -4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7708,394377] |
[a1,a2,a3,a4,a6] |
Generators |
[17278:794859:8] |
Generators of the group modulo torsion |
j |
590589719/1132866 |
j-invariant |
L |
9.9917857713939 |
L(r)(E,1)/r! |
Ω |
0.41333054703853 |
Real period |
R |
6.0434595525204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878j1 4662k1 |
Quadratic twists by: -3 -7 |