Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bi |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30965666310896640 = 210 · 3 · 5 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120320,13692060] |
[a1,a2,a3,a4,a6] |
Generators |
[8542:788788:1] |
Generators of the group modulo torsion |
j |
7793764996/1252815 |
j-invariant |
L |
5.6913209128446 |
L(r)(E,1)/r! |
Ω |
0.35473699158119 |
Real period |
R |
8.0218881141715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360bi3 104040j3 2040m4 |
Quadratic twists by: -4 -3 17 |