Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544bn |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-42448896 = -1 · 211 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240,-1548] |
[a1,a2,a3,a4,a6] |
j |
-15298178/423 |
j-invariant |
L |
2.421128758358 |
L(r)(E,1)/r! |
Ω |
0.60528211540418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55272q1 110544b1 |
Quadratic twists by: -4 -7 |