Atkin-Lehner |
2- 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650ch |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4389887643750000 = 24 · 36 · 58 · 73 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18292588,30105850781] |
[a1,a2,a3,a4,a6] |
Generators |
[2111:28995:1] |
Generators of the group modulo torsion |
j |
43324059787935810799609/280952809200 |
j-invariant |
L |
8.4674900346744 |
L(r)(E,1)/r! |
Ω |
0.29931105789187 |
Real period |
R |
1.1787472446267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130j2 |
Quadratic twists by: 5 |