Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10320x |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1136025600 = 213 · 3 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-440,3312] |
[a1,a2,a3,a4,a6] |
Generators |
[4:40:1] |
Generators of the group modulo torsion |
j |
2305199161/277350 |
j-invariant |
L |
3.3527617499741 |
L(r)(E,1)/r! |
Ω |
1.4925868775891 |
Real period |
R |
0.56156894454776 |
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 |
1290i2 41280dd2 30960bi2 51600do2 |
Quadratic twists by: -4 8 -3 5 |