Atkin-Lehner |
3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745j |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-8504688603675 = -1 · 3 · 52 · 118 · 232 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 11- 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1775,-137919] |
[a1,a2,a3,a4,a6] |
Generators |
[51:287:1] |
Generators of the group modulo torsion |
j |
2883584/39675 |
j-invariant |
L |
4.2320352823731 |
L(r)(E,1)/r! |
Ω |
0.35988660384508 |
Real period |
R |
2.939839408551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235q1 41745k1 |
Quadratic twists by: -3 -11 |