Atkin-Lehner |
3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7725m |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11935125 = -1 · 32 · 53 · 1032 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6,-167] |
[a1,a2,a3,a4,a6] |
Generators |
[37:206:1] |
Generators of the group modulo torsion |
j |
-148877/95481 |
j-invariant |
L |
5.8958965677913 |
L(r)(E,1)/r! |
Ω |
1.0163495164893 |
Real period |
R |
2.9005260848438 |
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 |
123600bl2 23175r2 7725e2 |
Quadratic twists by: -4 -3 5 |