Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698t |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
198380190810783744 = 214 · 38 · 72 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7069833,7237124365] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:91652:1] |
Generators of the group modulo torsion |
j |
53607269151751549932433/272126462017536 |
j-invariant |
L |
3.2364295486299 |
L(r)(E,1)/r! |
Ω |
0.28143031419298 |
Real period |
R |
1.4374915322785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13566n2 |
Quadratic twists by: -3 |