Atkin-Lehner |
2- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77248w |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
1.9751375945711E+19 |
Discriminant |
Eigenvalues |
2- -1 -2 -1 6 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1173409,-439649215] |
[a1,a2,a3,a4,a6] |
Generators |
[-499:4624:1] |
Generators of the group modulo torsion |
j |
1363208861955090386/150691039624871 |
j-invariant |
L |
4.4006861432579 |
L(r)(E,1)/r! |
Ω |
0.14609772230755 |
Real period |
R |
1.8825952898501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248k1 19312b1 |
Quadratic twists by: -4 8 |