Atkin-Lehner |
2+ 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920j |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
399750000000000 = 210 · 3 · 512 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39320,-2829600] |
[a1,a2,a3,a4,a6] |
Generators |
[265:2300:1] |
Generators of the group modulo torsion |
j |
6565613721498724/390380859375 |
j-invariant |
L |
6.6399424130758 |
L(r)(E,1)/r! |
Ω |
0.34029569540568 |
Real period |
R |
3.2520454552414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960f3 |
Quadratic twists by: -4 |