Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bb |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3052171123752960000 = 224 · 32 · 54 · 114 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3098336,2098487040] |
[a1,a2,a3,a4,a6] |
Generators |
[-1310:62510:1] |
Generators of the group modulo torsion |
j |
803062680096933685729/745158965760000 |
j-invariant |
L |
5.2479485419985 |
L(r)(E,1)/r! |
Ω |
0.25156672598562 |
Real period |
R |
5.2152650119224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999337109 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15510p2 |
Quadratic twists by: -4 |