Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79184u |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-961782128356360192 = -1 · 238 · 73 · 1012 |
Discriminant |
Eigenvalues |
2- 2 2 7- -4 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-282032,74591168] |
[a1,a2,a3,a4,a6] |
Generators |
[5280662:70685658:12167] |
Generators of the group modulo torsion |
j |
-1765900971536311/684577521664 |
j-invariant |
L |
10.065233392029 |
L(r)(E,1)/r! |
Ω |
0.26175010812768 |
Real period |
R |
9.6133994626724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9898f1 79184bd1 |
Quadratic twists by: -4 -7 |