Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bv |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
137011437068313600 = 210 · 38 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-791427,270411154] |
[a1,a2,a3,a4,a6] |
Generators |
[53:15120:1] |
Generators of the group modulo torsion |
j |
15214885924/38025 |
j-invariant |
L |
8.1371498439359 |
L(r)(E,1)/r! |
Ω |
0.3286198166185 |
Real period |
R |
3.0951990023468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019103 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60840ca2 40560t2 9360o2 |
Quadratic twists by: -4 -3 13 |