Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520bq |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
669747133808640000 = 230 · 36 · 54 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1364801,-611975199] |
[a1,a2,a3,a4,a6] |
j |
1072487167529950801/2554882560000 |
j-invariant |
L |
2.5145881739298 |
L(r)(E,1)/r! |
Ω |
0.13969934299539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35520v2 8880ba2 106560fo2 |
Quadratic twists by: -4 8 -3 |