Atkin-Lehner |
2+ 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520d |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
24037401600 = 210 · 32 · 52 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-856,6400] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:102:1] [-24:112:1] |
Generators of the group modulo torsion |
j |
67819144036/23474025 |
j-invariant |
L |
7.1391083811766 |
L(r)(E,1)/r! |
Ω |
1.1009286079288 |
Real period |
R |
1.6211560698767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38760x2 |
Quadratic twists by: -4 |