Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382bp |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
-214243856862723072 = -1 · 210 · 34 · 79 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14113,-22280119] |
[a1,a2,a3,a4,a6] |
Generators |
[482:-9349:1] |
Generators of the group modulo torsion |
j |
-7703734375/5309162496 |
j-invariant |
L |
13.640813954993 |
L(r)(E,1)/r! |
Ω |
0.14214536974014 |
Real period |
R |
1.199547862529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74382ba1 |
Quadratic twists by: -7 |