Atkin-Lehner |
2- 3- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710bh |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
280899000000000000 = 212 · 32 · 512 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11592385,15190745225] |
[a1,a2,a3,a4,a6] |
Generators |
[-1630:173315:1] |
Generators of the group modulo torsion |
j |
172282872111863857199306641/280899000000000000 |
j-invariant |
L |
12.336829259307 |
L(r)(E,1)/r! |
Ω |
0.26349174563579 |
Real period |
R |
0.32514272963315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130n2 |
Quadratic twists by: -3 |