Atkin-Lehner |
2- 5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76850i |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-371810422067200 = -1 · 212 · 52 · 293 · 533 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 3 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43118,3550891] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:2583:1] |
Generators of the group modulo torsion |
j |
-354617494895186185/14872416882688 |
j-invariant |
L |
16.983130956044 |
L(r)(E,1)/r! |
Ω |
0.53177487348087 |
Real period |
R |
0.88713036522979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76850c2 |
Quadratic twists by: 5 |