Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632t |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-11681792 = -1 · 214 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 1 0 -5 -6 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3313,-74513] |
[a1,a2,a3,a4,a6] |
Generators |
[99:760:1] |
Generators of the group modulo torsion |
j |
-245526946000/713 |
j-invariant |
L |
4.4058457576863 |
L(r)(E,1)/r! |
Ω |
0.31463222457337 |
Real period |
R |
3.5007902986228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45632b1 11408g1 |
Quadratic twists by: -4 8 |