Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bi |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
401803628601600 = 28 · 32 · 52 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33620,-2156700] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:182:1] |
Generators of the group modulo torsion |
j |
680136784/65025 |
j-invariant |
L |
5.6913209128446 |
L(r)(E,1)/r! |
Ω |
0.35473699158119 |
Real period |
R |
4.0109440570858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69360bi2 104040j2 2040m2 |
Quadratic twists by: -4 -3 17 |