Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320w |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-1284363434553886720 = -1 · 211 · 5 · 117 · 235 |
Discriminant |
Eigenvalues |
2- 0 5- 1 11- 4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,262933,-16735994] |
[a1,a2,a3,a4,a6] |
Generators |
[30690:1917487:8] |
Generators of the group modulo torsion |
j |
554080592718/353998865 |
j-invariant |
L |
7.4765901766073 |
L(r)(E,1)/r! |
Ω |
0.15590833833543 |
Real period |
R |
4.7955037438051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999663317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10120d1 |
Quadratic twists by: -11 |