Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11322bb |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-25500821821814016 = -1 · 28 · 38 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -5 -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1375574,621366117] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:31347:1] |
Generators of the group modulo torsion |
j |
-394864202575558290457/34980551195904 |
j-invariant |
L |
5.8419877693607 |
L(r)(E,1)/r! |
Ω |
0.36030012879984 |
Real period |
R |
0.072384938158813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576ce1 3774g1 |
Quadratic twists by: -4 -3 |