Atkin-Lehner |
2- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77248v |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
2689466368 = 217 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 -3 -2 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,8639] |
[a1,a2,a3,a4,a6] |
Generators |
[5:68:1] |
Generators of the group modulo torsion |
j |
488281250/20519 |
j-invariant |
L |
6.0154406339229 |
L(r)(E,1)/r! |
Ω |
1.4242859109912 |
Real period |
R |
1.0558695739761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248l1 19312c1 |
Quadratic twists by: -4 8 |