Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107584a |
Isogeny class |
Conductor |
107584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
12763416093065216 = 216 · 417 |
Discriminant |
Eigenvalues |
2+ 0 2 2 0 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73964,-5513680] |
[a1,a2,a3,a4,a6] |
Generators |
[-24777871:-220126435:148877] |
Generators of the group modulo torsion |
j |
143748/41 |
j-invariant |
L |
7.9769646336252 |
L(r)(E,1)/r! |
Ω |
0.29577901161635 |
Real period |
R |
13.484669810698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107584i1 13448a1 2624a1 |
Quadratic twists by: -4 8 41 |