Atkin-Lehner |
2+ 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954u |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-189109557882249984 = -1 · 28 · 39 · 73 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 0 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1528329,727405900] |
[a1,a2,a3,a4,a6] |
Generators |
[-757:38466:1] [830:5139:1] |
Generators of the group modulo torsion |
j |
-1151011718824638124063/551339818898688 |
j-invariant |
L |
9.8005411924875 |
L(r)(E,1)/r! |
Ω |
0.31446556136996 |
Real period |
R |
0.17314281036954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954k1 |
Quadratic twists by: -7 |