Atkin-Lehner |
2+ 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550d |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-4438242382732200 = -1 · 23 · 39 · 52 · 77 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5779257,-5346122059] |
[a1,a2,a3,a4,a6] |
j |
-43381890754189517115/9019442936 |
j-invariant |
L |
1.3632001164603 |
L(r)(E,1)/r! |
Ω |
0.048685714517509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550dd1 116550dn1 |
Quadratic twists by: -3 5 |