Atkin-Lehner |
2- 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5214c |
Isogeny class |
Conductor |
5214 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
14413414752 = 25 · 38 · 11 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1744,26705] |
[a1,a2,a3,a4,a6] |
Generators |
[1:157:1] |
Generators of the group modulo torsion |
j |
586649517348097/14413414752 |
j-invariant |
L |
3.9199836456177 |
L(r)(E,1)/r! |
Ω |
1.2476754731764 |
Real period |
R |
0.62836590602172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41712d2 15642c2 57354f2 |
Quadratic twists by: -4 -3 -11 |