Atkin-Lehner |
2+ 3+ 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042a |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
226419200 |
Modular degree for the optimal curve |
Δ |
-5.9098090492199E+29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -5 -1 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17092899600,860944240063744] |
[a1,a2,a3,a4,a6] |
Generators |
[1786340448:472861855184:12167] |
Generators of the group modulo torsion |
j |
-20455362159569980506142961077267227/21888181663777322343577157632 |
j-invariant |
L |
1.9257966656792 |
L(r)(E,1)/r! |
Ω |
0.028889930759677 |
Real period |
R |
8.3324735255472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042bd1 |
Quadratic twists by: -3 |