Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bd |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.6381747010574E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38667125,-175730315625] |
[a1,a2,a3,a4,a6] |
Generators |
[157735561613:-20224569827673:8365427] |
Generators of the group modulo torsion |
j |
-230979395175477481/348191894531250 |
j-invariant |
L |
4.751012509323 |
L(r)(E,1)/r! |
Ω |
0.028732074817694 |
Real period |
R |
20.669463230033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cu4 11550bl5 |
Quadratic twists by: 5 -11 |