Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573x |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1883002648207527 = -1 · 36 · 79 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22702,1614624] |
[a1,a2,a3,a4,a6] |
Generators |
[24078:717680:27] |
Generators of the group modulo torsion |
j |
43986977/64009 |
j-invariant |
L |
5.8456974878416 |
L(r)(E,1)/r! |
Ω |
0.31753671384603 |
Real period |
R |
4.6023791702449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12397m1 111573y1 |
Quadratic twists by: -3 -7 |