Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680d |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-195104194560000 = -1 · 217 · 39 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5292,688176] |
[a1,a2,a3,a4,a6] |
j |
-6353046/75625 |
j-invariant |
L |
3.8465579096159 |
L(r)(E,1)/r! |
Ω |
0.48081973870157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680cg2 3960m2 31680b2 |
Quadratic twists by: -4 8 -3 |