Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520bw |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4087812096000 = 215 · 36 · 53 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4001,-3999] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:216:1] |
Generators of the group modulo torsion |
j |
216216072008/124750125 |
j-invariant |
L |
3.2430745744342 |
L(r)(E,1)/r! |
Ω |
0.65472901722473 |
Real period |
R |
1.238327036497 |
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 |
35520cs2 17760q2 106560gn2 |
Quadratic twists by: -4 8 -3 |