Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350cd |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
585300146484375000 = 23 · 310 · 514 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1975167,-1067321259] |
[a1,a2,a3,a4,a6] |
Generators |
[-815:1181:1] [-807:1173:1] |
Generators of the group modulo torsion |
j |
74814838808586409/51384375000 |
j-invariant |
L |
8.3342670261051 |
L(r)(E,1)/r! |
Ω |
0.12735514476457 |
Real period |
R |
16.360287292074 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450cr4 18270bv3 |
Quadratic twists by: -3 5 |