Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6800a |
Isogeny class |
Conductor |
6800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
66816800000000 = 211 · 58 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29075,1867250] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:1156:1] |
Generators of the group modulo torsion |
j |
84944038338/2088025 |
j-invariant |
L |
3.9539098215011 |
L(r)(E,1)/r! |
Ω |
0.61743225232677 |
Real period |
R |
1.6009488517165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3400a3 27200bq4 61200br4 1360a3 |
Quadratic twists by: -4 8 -3 5 |