Atkin-Lehner |
3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122247b |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
30630575061 = 33 · 176 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 3 -1 -3 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2601,50358] |
[a1,a2,a3,a4,a6] |
Generators |
[68:433:1] |
Generators of the group modulo torsion |
j |
2985984/47 |
j-invariant |
L |
3.7303391604058 |
L(r)(E,1)/r! |
Ω |
1.1765528331872 |
Real period |
R |
0.79264165966498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122247c1 423g1 |
Quadratic twists by: -3 17 |