Atkin-Lehner |
3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37275b |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18611877281484375 = 39 · 57 · 74 · 712 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13120188,-18297339594] |
[a1,a2,a3,a4,a6] |
Generators |
[417858945:-33615176424:50653] |
Generators of the group modulo torsion |
j |
15985413048680914681081/1191160146015 |
j-invariant |
L |
2.0482515025729 |
L(r)(E,1)/r! |
Ω |
0.079325814843887 |
Real period |
R |
12.910371652675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111825m2 7455e2 |
Quadratic twists by: -3 5 |