Atkin-Lehner |
3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025g |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-25337818828125 = -1 · 36 · 57 · 232 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8713,392156] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-333:1] |
Generators of the group modulo torsion |
j |
-4681768588489/1621620405 |
j-invariant |
L |
3.1512758701714 |
L(r)(E,1)/r! |
Ω |
0.63247455507061 |
Real period |
R |
1.2456136950194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10005j2 |
Quadratic twists by: 5 |