Atkin-Lehner |
2+ 3- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950u |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
2443809284053312500 = 22 · 314 · 56 · 133 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1102251,438930898] |
[a1,a2,a3,a4,a6] |
Generators |
[377:-8964:1] |
Generators of the group modulo torsion |
j |
9478609340265344161/156403794179412 |
j-invariant |
L |
4.6469439687165 |
L(r)(E,1)/r! |
Ω |
0.25820518723295 |
Real period |
R |
0.21425116211255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758e2 |
Quadratic twists by: 5 |