Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fe |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.0991570176E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6884157408,-219846607634688] |
[a1,a2,a3,a4,a6] |
Generators |
[-42320845541454649276654628718:11790969256971217735216514:883473446871604506942297] |
Generators of the group modulo torsion |
j |
4791901410190533590281/41160000 |
j-invariant |
L |
5.466941529656 |
L(r)(E,1)/r! |
Ω |
0.016574363398605 |
Real period |
R |
41.230403532554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350ck7 11760cd7 8400cf7 |
Quadratic twists by: -4 5 -7 |