Atkin-Lehner |
3- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84111a |
Isogeny class |
Conductor |
84111 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4468992 |
Modular degree for the optimal curve |
Δ |
-2.0614077349138E+22 |
Discriminant |
Eigenvalues |
0 3- 2 -1 0 -3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10447397,-14722624162] |
[a1,a2,a3,a4,a6] |
Generators |
[94682:9861665:8] |
Generators of the group modulo torsion |
j |
-3044175511552/497605923 |
j-invariant |
L |
7.2496502735331 |
L(r)(E,1)/r! |
Ω |
0.041614129503801 |
Real period |
R |
7.9186940096921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84111d1 |
Quadratic twists by: -23 |