Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gu |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1564738560000 = 213 · 34 · 54 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12616,-546316] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:42:1] |
Generators of the group modulo torsion |
j |
158077154143/1113750 |
j-invariant |
L |
7.3293907690237 |
L(r)(E,1)/r! |
Ω |
0.45066173304178 |
Real period |
R |
2.0329523746421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170f2 129360fr2 |
Quadratic twists by: -4 -7 |