Atkin-Lehner |
2+ 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bb |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30336 |
Modular degree for the optimal curve |
Δ |
359550 = 2 · 32 · 52 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 5 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,38] |
[a1,a2,a3,a4,a6] |
Generators |
[6:7:1] |
Generators of the group modulo torsion |
j |
73530625/14382 |
j-invariant |
L |
7.9049164529434 |
L(r)(E,1)/r! |
Ω |
2.8686467952655 |
Real period |
R |
1.3778127864299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999980275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850cf1 |
Quadratic twists by: 5 |