Atkin-Lehner |
3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775p |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
3300334723125 = 39 · 54 · 11 · 293 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 11+ -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-936225,348673106] |
[a1,a2,a3,a4,a6] |
Generators |
[559:14:1] |
Generators of the group modulo torsion |
j |
7377226268774400/268279 |
j-invariant |
L |
2.6582720148181 |
L(r)(E,1)/r! |
Ω |
0.58716743708018 |
Real period |
R |
0.75454684261604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775s1 71775e1 |
Quadratic twists by: -3 5 |