Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200o |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12706092000000000 = 211 · 33 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58875,906250] |
[a1,a2,a3,a4,a6] |
j |
208974222/117649 |
j-invariant |
L |
2.7575507434363 |
L(r)(E,1)/r! |
Ω |
0.34469384292956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12600br2 100800ki2 25200p2 25200q2 |
Quadratic twists by: -4 8 -3 5 |