Atkin-Lehner |
3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
525a |
Isogeny class |
Conductor |
525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
205078125 = 3 · 510 · 7 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2813,-58594] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:17:1] |
Generators of the group modulo torsion |
j |
157551496201/13125 |
j-invariant |
L |
1.2004647676528 |
L(r)(E,1)/r! |
Ω |
0.65555402526641 |
Real period |
R |
1.8312217168752 |
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 |
8400cg3 33600ce4 1575f3 105a3 |
Quadratic twists by: -4 8 -3 5 |