Atkin-Lehner |
2+ 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8806d |
Isogeny class |
Conductor |
8806 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-70126246794688 = -1 · 26 · 7 · 174 · 374 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8530,-261772] |
[a1,a2,a3,a4,a6] |
Generators |
[676:17410:1] |
Generators of the group modulo torsion |
j |
68626405236548375/70126246794688 |
j-invariant |
L |
4.5777877677505 |
L(r)(E,1)/r! |
Ω |
0.33465668437757 |
Real period |
R |
3.4197641803157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70448k1 79254bg1 61642h1 |
Quadratic twists by: -4 -3 -7 |