Atkin-Lehner |
3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
61005s |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
1970805725478515625 = 3 · 510 · 76 · 833 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1700056,850365095] |
[a1,a2,a3,a4,a6] |
j |
4618757595675440881/16751572265625 |
j-invariant |
L |
1.5816418745505 |
L(r)(E,1)/r! |
Ω |
0.26360697922817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1245b1 |
Quadratic twists by: -7 |