Atkin-Lehner |
2- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638n |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
9092141569860608 = 210 · 710 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 2 2 7- -4 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64142,4221643] |
[a1,a2,a3,a4,a6] |
Generators |
[1091:34587:1] |
Generators of the group modulo torsion |
j |
248063797363537/77281928192 |
j-invariant |
L |
17.066876562803 |
L(r)(E,1)/r! |
Ω |
0.38025988758145 |
Real period |
R |
4.488213750492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10234m1 |
Quadratic twists by: -7 |