Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360ca |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4458307682713600 = 214 · 52 · 174 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -4 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2782108,1786110768] |
[a1,a2,a3,a4,a6] |
Generators |
[-1774:33744:1] [981:-969:1] |
Generators of the group modulo torsion |
j |
145353578430093775056/272113506025 |
j-invariant |
L |
8.1180460294313 |
L(r)(E,1)/r! |
Ω |
0.37388711140974 |
Real period |
R |
2.7140698964769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992217 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103360l2 25840l2 |
Quadratic twists by: -4 8 |