Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gl |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
249389383680 = 218 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4008972,-3089567216] |
[a1,a2,a3,a4,a6] |
Generators |
[3890:200448:1] |
Generators of the group modulo torsion |
j |
37286818682653441/1305 |
j-invariant |
L |
8.192399800938 |
L(r)(E,1)/r! |
Ω |
0.10669431977292 |
Real period |
R |
4.7989901259156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000037273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520dg4 20880bv3 27840dk4 |
Quadratic twists by: -4 8 -3 |