Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550a |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4748718750 = -1 · 2 · 3 · 56 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 3 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3700,-88250] |
[a1,a2,a3,a4,a6] |
Generators |
[345:6140:1] |
Generators of the group modulo torsion |
j |
-358667682625/303918 |
j-invariant |
L |
2.6516506098608 |
L(r)(E,1)/r! |
Ω |
0.30604252568778 |
Real period |
R |
4.3321603817993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44400cf2 16650bw2 222a2 |
Quadratic twists by: -4 -3 5 |