Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465b |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2883895745259375 = 33 · 55 · 710 · 112 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38445,-1310454] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:624:1] |
Generators of the group modulo torsion |
j |
232747967939865867/106810953528125 |
j-invariant |
L |
4.0308207940227 |
L(r)(E,1)/r! |
Ω |
0.35617621518396 |
Real period |
R |
1.1316928593732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440bw2 3465d2 17325b2 24255w2 |
Quadratic twists by: -4 -3 5 -7 |