Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520by |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16987586560 = -1 · 217 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,639,-641] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-112:1] [26:185:1] |
Generators of the group modulo torsion |
j |
219804478/129605 |
j-invariant |
L |
6.7374121217953 |
L(r)(E,1)/r! |
Ω |
0.72338621951584 |
Real period |
R |
2.3284284176384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520f2 12880k2 |
Quadratic twists by: -4 8 |