Atkin-Lehner |
2- 5- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
81650w |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-668876800000000 = -1 · 220 · 58 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 2 5- -4 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2237,-1242719] |
[a1,a2,a3,a4,a6] |
j |
3169198895/1712324608 |
j-invariant |
L |
4.7764232849626 |
L(r)(E,1)/r! |
Ω |
0.23882116207247 |
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 |
81650b1 |
Quadratic twists by: 5 |