Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600bd |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6274224100000000 = -1 · 28 · 58 · 894 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329908,73144812] |
[a1,a2,a3,a4,a6] |
Generators |
[-3702:89979:8] |
Generators of the group modulo torsion |
j |
-992758417495504/1568556025 |
j-invariant |
L |
8.0767431376306 |
L(r)(E,1)/r! |
Ω |
0.42350904089028 |
Real period |
R |
4.7677513097785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8900c2 7120k2 |
Quadratic twists by: -4 5 |