Atkin-Lehner |
2+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514b |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1434720 |
Modular degree for the optimal curve |
Δ |
6518048641907554 = 2 · 17 · 618 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-174965,27885430] |
[a1,a2,a3,a4,a6] |
Generators |
[910518772:3433885408611:64] |
Generators of the group modulo torsion |
j |
3089833/34 |
j-invariant |
L |
1.94572616278 |
L(r)(E,1)/r! |
Ω |
0.42414989973964 |
Real period |
R |
13.762066449153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999989442187 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126514k1 |
Quadratic twists by: 61 |