Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200u |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1192464000000 = 210 · 32 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2808,-21888] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:182:1] |
Generators of the group modulo torsion |
j |
153091012/74529 |
j-invariant |
L |
6.3275805063391 |
L(r)(E,1)/r! |
Ω |
0.68880430609185 |
Real period |
R |
1.1482906778717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965764 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54600cf2 4368f2 |
Quadratic twists by: -4 5 |