Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010dq |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
132289730979840000 = 214 · 33 · 54 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1415170,647624900] |
[a1,a2,a3,a4,a6] |
Generators |
[620:-3250:1] |
Generators of the group modulo torsion |
j |
2664166306836455569/1124444160000 |
j-invariant |
L |
13.506952198668 |
L(r)(E,1)/r! |
Ω |
0.32336235759146 |
Real period |
R |
0.24863291234306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430u1 |
Quadratic twists by: -7 |