Atkin-Lehner |
2- 3+ 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41820d |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
367243629932880 = 24 · 318 · 5 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111605,-14283930] |
[a1,a2,a3,a4,a6] |
Generators |
[-24955:1573:125] |
Generators of the group modulo torsion |
j |
9608565969676926976/22952726870805 |
j-invariant |
L |
5.7007003132168 |
L(r)(E,1)/r! |
Ω |
0.26124059110415 |
Real period |
R |
7.273882782557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125460d1 |
Quadratic twists by: -3 |