Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3520l |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2816000000 = -1 · 214 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68,-2544] |
[a1,a2,a3,a4,a6] |
Generators |
[32:180:1] |
Generators of the group modulo torsion |
j |
2122416/171875 |
j-invariant |
L |
3.4477322179159 |
L(r)(E,1)/r! |
Ω |
0.68151447048328 |
Real period |
R |
1.6863091282914 |
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 |
3520bc2 440a2 31680j2 17600l2 |
Quadratic twists by: -4 8 -3 5 |