Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616by |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
2112794186646528 = 210 · 313 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3535203,2558406130] |
[a1,a2,a3,a4,a6] |
Generators |
[21945:402290:27] |
Generators of the group modulo torsion |
j |
55635379958596/24057 |
j-invariant |
L |
8.8330502084888 |
L(r)(E,1)/r! |
Ω |
0.37783160073265 |
Real period |
R |
5.844568180739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808cp1 25872bb1 1584e1 |
Quadratic twists by: -4 -3 -7 |