Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698br |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2781993673073664 = 210 · 312 · 72 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37706,-1216119] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:1263:1] |
Generators of the group modulo torsion |
j |
8132363365539673/3816177878016 |
j-invariant |
L |
8.7805304400788 |
L(r)(E,1)/r! |
Ω |
0.35858573863486 |
Real period |
R |
1.2243278934497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13566g2 |
Quadratic twists by: -3 |