Atkin-Lehner |
2- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129214b |
Isogeny class |
Conductor |
129214 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
754000 |
Modular degree for the optimal curve |
Δ |
-522015033310208 = -1 · 210 · 23 · 536 |
Discriminant |
Eigenvalues |
2- 0 -4 -4 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28617,-2156215] |
[a1,a2,a3,a4,a6] |
j |
-116930169/23552 |
j-invariant |
L |
0.90782263993991 |
L(r)(E,1)/r! |
Ω |
0.18156432289494 |
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 |
46a1 |
Quadratic twists by: 53 |