Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568p |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-1604092680739584 = -1 · 28 · 37 · 79 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25449,1127558] |
[a1,a2,a3,a4,a6] |
Generators |
[517:12348:1] |
Generators of the group modulo torsion |
j |
9767161833392/8595318291 |
j-invariant |
L |
8.178682695776 |
L(r)(E,1)/r! |
Ω |
0.30904611168638 |
Real period |
R |
0.73511887655539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35784s1 23856f1 |
Quadratic twists by: -4 -3 |