Atkin-Lehner |
2- 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910bq |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
309353633662500000 = 25 · 34 · 58 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-403026,-94942401] |
[a1,a2,a3,a4,a6] |
Generators |
[-393:1911:1] |
Generators of the group modulo torsion |
j |
61536774994304401/2629462500000 |
j-invariant |
L |
9.1809447085038 |
L(r)(E,1)/r! |
Ω |
0.18998141975178 |
Real period |
R |
2.4162743709221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130be2 |
Quadratic twists by: -7 |