Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200ea |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-420078960000000000 = -1 · 213 · 37 · 510 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23325,31153250] |
[a1,a2,a3,a4,a6] |
Generators |
[151:6174:1] |
Generators of the group modulo torsion |
j |
30080231/9003750 |
j-invariant |
L |
4.6930974813931 |
L(r)(E,1)/r! |
Ω |
0.231385065847 |
Real period |
R |
2.5353286437338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3150o4 100800lx3 8400bk4 5040bo4 |
Quadratic twists by: -4 8 -3 5 |