Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210bg |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-10380800764493550 = -1 · 2 · 37 · 52 · 377 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 5 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43380,-5999450] |
[a1,a2,a3,a4,a6] |
j |
-4826809/5550 |
j-invariant |
L |
2.5335976951759 |
L(r)(E,1)/r! |
Ω |
0.15834993640519 |
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 |
41070z1 3330w1 |
Quadratic twists by: -3 37 |