Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12320c |
Isogeny class |
Conductor |
12320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1311833600 = 29 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1907,32006] |
[a1,a2,a3,a4,a6] |
Generators |
[62:390:1] |
Generators of the group modulo torsion |
j |
1497979362888/2562175 |
j-invariant |
L |
4.8921083769955 |
L(r)(E,1)/r! |
Ω |
1.526837613025 |
Real period |
R |
3.204079029271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12320j2 24640b4 110880cw4 61600bp4 |
Quadratic twists by: -4 8 -3 5 |