Atkin-Lehner |
2- 3- 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41820i |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
213282000 = 24 · 32 · 53 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1725,27000] |
[a1,a2,a3,a4,a6] |
Generators |
[20:30:1] |
Generators of the group modulo torsion |
j |
35499543494656/13330125 |
j-invariant |
L |
7.8204937780563 |
L(r)(E,1)/r! |
Ω |
1.7442876295934 |
Real period |
R |
1.4944962144572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125460l1 |
Quadratic twists by: -3 |