Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
94864bp |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-231095016950276864 = -1 · 28 · 714 · 113 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,97739,19947871] |
[a1,a2,a3,a4,a6] |
Generators |
[723:21658:1] |
Generators of the group modulo torsion |
j |
2575826944/5764801 |
j-invariant |
L |
7.3759898451822 |
L(r)(E,1)/r! |
Ω |
0.21802523367424 |
Real period |
R |
4.2288624790762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23716c1 13552v1 94864bq1 |
Quadratic twists by: -4 -7 -11 |