Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bt |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
13378671281250000 = 24 · 34 · 59 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-858013,305498531] |
[a1,a2,a3,a4,a6] |
Generators |
[581:-2172:1] |
Generators of the group modulo torsion |
j |
35766406550654333/6849879696 |
j-invariant |
L |
6.5352514672332 |
L(r)(E,1)/r! |
Ω |
0.38617972755183 |
Real period |
R |
0.52883824235343 |
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 |
94050bz2 31350bb2 |
Quadratic twists by: -3 5 |