Atkin-Lehner |
2- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6956a |
Isogeny class |
Conductor |
6956 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4536 |
Modular degree for the optimal curve |
Δ |
-609456896 = -1 · 28 · 373 · 47 |
Discriminant |
Eigenvalues |
2- -3 -3 0 2 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64,1204] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:37:1] |
Generators of the group modulo torsion |
j |
-113246208/2380691 |
j-invariant |
L |
1.8609930604406 |
L(r)(E,1)/r! |
Ω |
1.3675928226732 |
Real period |
R |
0.45359335751288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27824e1 111296b1 62604e1 |
Quadratic twists by: -4 8 -3 |