Atkin-Lehner |
3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
525b |
Isogeny class |
Conductor |
525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-270225046875 = -1 · 3 · 56 · 78 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-850,-27125] |
[a1,a2,a3,a4,a6] |
j |
-4354703137/17294403 |
j-invariant |
L |
1.6139595394337 |
L(r)(E,1)/r! |
Ω |
0.40348988485842 |
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 |
8400cd6 33600dd5 1575g6 21a6 |
Quadratic twists by: -4 8 -3 5 |