Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420bc |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1009499079600 = -1 · 24 · 38 · 52 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-425,-48600] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-561:1] |
Generators of the group modulo torsion |
j |
-399589376/47403225 |
j-invariant |
L |
10.331661424088 |
L(r)(E,1)/r! |
Ω |
0.38915711462193 |
Real period |
R |
0.55310037936198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999352529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123420bb1 |
Quadratic twists by: -11 |