Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200da |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-21604060800000000 = -1 · 213 · 39 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37125,-6513750] |
[a1,a2,a3,a4,a6] |
Generators |
[15555:22734:125] |
Generators of the group modulo torsion |
j |
179685/686 |
j-invariant |
L |
5.0802085721721 |
L(r)(E,1)/r! |
Ω |
0.19408041721436 |
Real period |
R |
6.5439479225781 |
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 |
3150bc2 100800kb2 25200db1 25200cv2 |
Quadratic twists by: -4 8 -3 5 |