Atkin-Lehner |
2- 5+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950t |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-768290200000000 = -1 · 29 · 58 · 37 · 473 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,437,1333617] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-1191:1] |
Generators of the group modulo torsion |
j |
590589719/49170572800 |
j-invariant |
L |
8.3614160099444 |
L(r)(E,1)/r! |
Ω |
0.39946647773905 |
Real period |
R |
0.3876196022851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17390b1 |
Quadratic twists by: 5 |