Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
83104d |
Isogeny class |
Conductor |
83104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
375597169486336 = 29 · 712 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22099,-854070] |
[a1,a2,a3,a4,a6] |
Generators |
[4453498738:1499109136125:39304] |
Generators of the group modulo torsion |
j |
19814511816/6235397 |
j-invariant |
L |
7.499988867501 |
L(r)(E,1)/r! |
Ω |
0.40125541083317 |
Real period |
R |
18.691308983751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83104c2 11872c2 |
Quadratic twists by: -4 -7 |