Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465i |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1536945696508E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1706670,874016325] |
[a1,a2,a3,a4,a6] |
j |
-754127868744065783521/15825714261328125 |
j-invariant |
L |
1.8119109787923 |
L(r)(E,1)/r! |
Ω |
0.22648887234903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440ct5 1155m6 17325s6 24255bs5 |
Quadratic twists by: -4 -3 5 -7 |