Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1120o |
Isogeny class |
Conductor |
1120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
96040000 = 26 · 54 · 74 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-817,-8976] |
[a1,a2,a3,a4,a6] |
j |
942344950464/1500625 |
j-invariant |
L |
1.7861403160169 |
L(r)(E,1)/r! |
Ω |
0.89307015800844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1120l1 2240t2 10080p1 5600a1 |
Quadratic twists by: -4 8 -3 5 |