Atkin-Lehner |
3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
525b |
Isogeny class |
Conductor |
525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2296875 = 3 · 56 · 72 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19600,-1064375] |
[a1,a2,a3,a4,a6] |
j |
53297461115137/147 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400cd5 33600dd6 1575g5 21a5 |
Quadratic twists by: -4 8 -3 5 |