Atkin-Lehner |
3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573bh |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2555904 |
Modular degree for the optimal curve |
Δ |
-1024480586397807 = -1 · 36 · 73 · 114 · 234 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11- -4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1344188,-599509466] |
[a1,a2,a3,a4,a6] |
j |
-1074191725926252207/4097152081 |
j-invariant |
L |
0.56084702900201 |
L(r)(E,1)/r! |
Ω |
0.070105885849113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12397f1 111573bi1 |
Quadratic twists by: -3 -7 |