Atkin-Lehner |
2- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
39494r |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
329280 |
Modular degree for the optimal curve |
Δ |
-73748130706432 = -1 · 210 · 78 · 13 · 312 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 5 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-154057,23264793] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:6123:1] |
Generators of the group modulo torsion |
j |
-70142925859153/12792832 |
j-invariant |
L |
7.931814775775 |
L(r)(E,1)/r! |
Ω |
0.59512831034833 |
Real period |
R |
0.22213178340018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39494w1 |
Quadratic twists by: -7 |