Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8848f |
Isogeny class |
Conductor |
8848 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-227306110976 = -1 · 223 · 73 · 79 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 3 5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2131,-44270] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1792:1] |
Generators of the group modulo torsion |
j |
-261284780457/55494656 |
j-invariant |
L |
2.5260378447471 |
L(r)(E,1)/r! |
Ω |
0.34738541261325 |
Real period |
R |
0.60596428659853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1106c1 35392r1 79632bc1 61936o1 |
Quadratic twists by: -4 8 -3 -7 |