Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880c |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12299500442880 = 28 · 314 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6196,-80240] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:308:1] |
Generators of the group modulo torsion |
j |
102775137127504/48044923605 |
j-invariant |
L |
4.1948743413677 |
L(r)(E,1)/r! |
Ω |
0.56301046447827 |
Real period |
R |
3.7253964235522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440l2 |
Quadratic twists by: -4 |