Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cc |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
903920796800000000 = 213 · 58 · 710 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5246675,-4625440750] |
[a1,a2,a3,a4,a6] |
Generators |
[-47498385:-17007850:35937] |
Generators of the group modulo torsion |
j |
2121328796049/120050 |
j-invariant |
L |
4.0662270928965 |
L(r)(E,1)/r! |
Ω |
0.099753924036777 |
Real period |
R |
10.190644458752 |
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 |
2450e4 78400gy4 3920ba3 2800o4 |
Quadratic twists by: -4 8 5 -7 |