Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840d |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-2.9715691025203E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 1 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209921,-264801279] |
[a1,a2,a3,a4,a6] |
Generators |
[1219611:259192448:27] |
Generators of the group modulo torsion |
j |
-3902595313317121/113356365300000 |
j-invariant |
L |
3.6301023968682 |
L(r)(E,1)/r! |
Ω |
0.090945054924 |
Real period |
R |
9.978833930232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840ci1 2370m1 |
Quadratic twists by: -4 8 |