Atkin-Lehner |
2- 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650cd |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128736 |
Modular degree for the optimal curve |
Δ |
-1215483300 = -1 · 22 · 33 · 52 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43,-1699] |
[a1,a2,a3,a4,a6] |
j |
-352224985/48619332 |
j-invariant |
L |
1.3650915822628 |
L(r)(E,1)/r! |
Ω |
0.6825463516479 |
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 |
127650bt1 |
Quadratic twists by: 5 |