Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cs |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
103488 |
Modular degree for the optimal curve |
Δ |
-404003635200 = -1 · 214 · 37 · 52 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1837,4257] |
[a1,a2,a3,a4,a6] |
Generators |
[46:409:1] |
Generators of the group modulo torsion |
j |
27421827614375/16160145408 |
j-invariant |
L |
11.889246232959 |
L(r)(E,1)/r! |
Ω |
0.57574834629674 |
Real period |
R |
0.21071504571236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650v1 |
Quadratic twists by: 5 |