Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18800bi |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
120242835030016000 = 222 · 53 · 475 |
Discriminant |
Eigenvalues |
2- 1 5- -3 3 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-142448,-12290092] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:790:1] |
Generators of the group modulo torsion |
j |
624346768216709/234849287168 |
j-invariant |
L |
5.1097748701847 |
L(r)(E,1)/r! |
Ω |
0.25360125334291 |
Real period |
R |
5.0372137389197 |
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 |
2350n2 75200dj2 18800br2 |
Quadratic twists by: -4 8 5 |