Atkin-Lehner |
3- 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
71757m |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-6.1544942357647E+19 |
Discriminant |
Eigenvalues |
2 3- 3 7- 1 -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12685881,-17395275951] |
[a1,a2,a3,a4,a6] |
Generators |
[108773348:141805410925:64] |
Generators of the group modulo torsion |
j |
-309712036104596389408768/84423789242314011 |
j-invariant |
L |
15.946887853799 |
L(r)(E,1)/r! |
Ω |
0.039997449517829 |
Real period |
R |
12.459300565412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23919f1 |
Quadratic twists by: -3 |