Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10010d |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
170683258996250 = 2 · 54 · 72 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14420,-218050] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1190:1] |
Generators of the group modulo torsion |
j |
331616731345462809/170683258996250 |
j-invariant |
L |
3.013046075099 |
L(r)(E,1)/r! |
Ω |
0.46057146246394 |
Real period |
R |
0.81774662583847 |
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 |
80080t4 90090dq4 50050bp4 70070x4 |
Quadratic twists by: -4 -3 5 -7 |