Atkin-Lehner |
2+ 3- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bc |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2610575121095156250 = 2 · 316 · 57 · 72 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-517508751,-4531362364352] |
[a1,a2,a3,a4,a6] |
Generators |
[-2836974:1423897:216] |
Generators of the group modulo torsion |
j |
980972378603512772339570401/167076807750090 |
j-invariant |
L |
6.0336838063802 |
L(r)(E,1)/r! |
Ω |
0.031653382825144 |
Real period |
R |
5.9567920496147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690m5 |
Quadratic twists by: 5 |