Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200fj |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-875164500000000 = -1 · 28 · 36 · 59 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12375,-1518750] |
[a1,a2,a3,a4,a6] |
Generators |
[234:2898:1] |
Generators of the group modulo torsion |
j |
-574992/2401 |
j-invariant |
L |
5.2803403970847 |
L(r)(E,1)/r! |
Ω |
0.20610882210162 |
Real period |
R |
3.202398339408 |
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 |
6300s2 100800pe2 2800bc2 25200ev2 |
Quadratic twists by: -4 8 -3 5 |