Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255by |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2476496743875 = -1 · 37 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11- 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,75717] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:2201:8] |
Generators of the group modulo torsion |
j |
-4096/28875 |
j-invariant |
L |
11.556584069471 |
L(r)(E,1)/r! |
Ω |
0.65218409577422 |
Real period |
R |
1.4766515753694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085o1 121275et1 3465m1 |
Quadratic twists by: -3 5 -7 |