Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cq |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1830439613520000000 = -1 · 210 · 34 · 57 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49408,-65246812] |
[a1,a2,a3,a4,a6] |
Generators |
[13568:1580250:1] |
Generators of the group modulo torsion |
j |
-7086244/972405 |
j-invariant |
L |
8.3738760448659 |
L(r)(E,1)/r! |
Ω |
0.11729712691041 |
Real period |
R |
4.4618931988628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cn3 11760c4 8400a4 |
Quadratic twists by: -4 5 -7 |