Atkin-Lehner |
2+ 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160f |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-6.6952524790279E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11632156,-15316765760] |
[a1,a2,a3,a4,a6] |
Generators |
[6096:374528:1] |
Generators of the group modulo torsion |
j |
-679930366806743877275344/2615332999620290895 |
j-invariant |
L |
3.1931876617401 |
L(r)(E,1)/r! |
Ω |
0.040865283343202 |
Real period |
R |
4.3410763373416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080h1 |
Quadratic twists by: -4 |