Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bi |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
332094581401190400 = 222 · 34 · 52 · 134 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181176,10658160] |
[a1,a2,a3,a4,a6] |
j |
160571388372024889/81077778662400 |
j-invariant |
L |
1.0766212765604 |
L(r)(E,1)/r! |
Ω |
0.26915551586907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430o2 |
Quadratic twists by: -4 |