Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350cd |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
168982655625000000 = 26 · 38 · 510 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148167,-9488259] |
[a1,a2,a3,a4,a6] |
Generators |
[-311:2693:1] [-282:3273:1] |
Generators of the group modulo torsion |
j |
31581464799529/14835240000 |
j-invariant |
L |
8.3342670261051 |
L(r)(E,1)/r! |
Ω |
0.25471028952913 |
Real period |
R |
4.0900718230184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30450cr2 18270bv2 |
Quadratic twists by: -3 5 |