Atkin-Lehner |
2- 3- 11+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77418u |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13432320 |
Modular degree for the optimal curve |
Δ |
-3.1613637910205E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200170247,1090136071167] |
[a1,a2,a3,a4,a6] |
Generators |
[7991:24318:1] |
Generators of the group modulo torsion |
j |
-1216731514924780155754481449/43365758450213067264 |
j-invariant |
L |
11.553060676105 |
L(r)(E,1)/r! |
Ω |
0.10955386214426 |
Real period |
R |
2.9293202982768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25806a1 |
Quadratic twists by: -3 |