Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cp |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-434027983011840 = -1 · 222 · 35 · 5 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11626,1111460] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1220:1] [44:-850:1] |
Generators of the group modulo torsion |
j |
-14283462359447/35672555520 |
j-invariant |
L |
18.096443777909 |
L(r)(E,1)/r! |
Ω |
0.46820446499333 |
Real period |
R |
0.70274052296882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090dn1 |
Quadratic twists by: -23 |