Atkin-Lehner |
3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573f |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
200952851784993 = 39 · 79 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45726,-3689785] |
[a1,a2,a3,a4,a6] |
Generators |
[3307944233869330590:17116999431266852729:12643637511232125] |
Generators of the group modulo torsion |
j |
13312053/253 |
j-invariant |
L |
10.024398422022 |
L(r)(E,1)/r! |
Ω |
0.32685836887644 |
Real period |
R |
30.668935999056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573k1 111573g1 |
Quadratic twists by: -3 -7 |