Atkin-Lehner |
2+ 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410h |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
39794396558400 = 26 · 310 · 52 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77895,8381821] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:3593:1] [30:2449:1] |
Generators of the group modulo torsion |
j |
71701470889611121/54587649600 |
j-invariant |
L |
7.1650086650282 |
L(r)(E,1)/r! |
Ω |
0.64076731764956 |
Real period |
R |
2.7954799143458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19470x2 |
Quadratic twists by: -3 |