Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111320u |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-2226400000 = -1 · 28 · 55 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,2275] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:30:1] [5:-50:1] |
Generators of the group modulo torsion |
j |
11264/71875 |
j-invariant |
L |
8.9807608633045 |
L(r)(E,1)/r! |
Ω |
1.1502342888249 |
Real period |
R |
0.7807766600528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111320l1 |
Quadratic twists by: -11 |