Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360du |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7087462183549440000 = 212 · 34 · 54 · 710 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-686016,-177038784] |
[a1,a2,a3,a4,a6] |
Generators |
[1386:39150:1] |
Generators of the group modulo torsion |
j |
74093292126001/14707625625 |
j-invariant |
L |
5.5416811709261 |
L(r)(E,1)/r! |
Ω |
0.16818909729091 |
Real period |
R |
4.1186386949134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000320493 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8085p3 18480df3 |
Quadratic twists by: -4 -7 |