Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
11850y |
Isogeny class |
Conductor |
11850 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
1516800000000 = 214 · 3 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 -3 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3138,-33969] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:107:1] |
Generators of the group modulo torsion |
j |
8748450625/3883008 |
j-invariant |
L |
5.8946743038945 |
L(r)(E,1)/r! |
Ω |
0.66465548131183 |
Real period |
R |
0.21116110847526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800dk1 35550v1 11850n1 |
Quadratic twists by: -4 -3 5 |