Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15540c |
Isogeny class |
Conductor |
15540 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-50146709760 = -1 · 28 · 32 · 5 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,644,8536] |
[a1,a2,a3,a4,a6] |
Generators |
[10:126:1] |
Generators of the group modulo torsion |
j |
115203799856/195885585 |
j-invariant |
L |
3.7657803426309 |
L(r)(E,1)/r! |
Ω |
0.77130918295646 |
Real period |
R |
0.54248030143539 |
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 |
62160cb2 46620w2 77700t2 108780bn2 |
Quadratic twists by: -4 -3 5 -7 |