Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062z |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-222703919814096 = -1 · 24 · 39 · 7 · 192 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10474,-590219] |
[a1,a2,a3,a4,a6] |
Generators |
[175:2477:1] |
Generators of the group modulo torsion |
j |
6456676097061/11314531312 |
j-invariant |
L |
8.6897737285994 |
L(r)(E,1)/r! |
Ω |
0.29376697416105 |
Real period |
R |
1.8487811966786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55062d2 |
Quadratic twists by: -3 |