Atkin-Lehner |
2+ 3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390g |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-341566709760000 = -1 · 216 · 38 · 54 · 31 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17055,-1230899] |
[a1,a2,a3,a4,a6] |
j |
-752602538173681/468541440000 |
j-invariant |
L |
0.81258757761066 |
L(r)(E,1)/r! |
Ω |
0.20314681548928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130u1 |
Quadratic twists by: -3 |