Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910ck |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
171318779654400 = 28 · 34 · 52 · 76 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-69336,6993216] |
[a1,a2,a3,a4,a6] |
Generators |
[186:-828:1] |
Generators of the group modulo torsion |
j |
313337384670961/1456185600 |
j-invariant |
L |
12.100633404983 |
L(r)(E,1)/r! |
Ω |
0.57497552808422 |
Real period |
R |
0.65767111016033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000094 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590p2 |
Quadratic twists by: -7 |