Atkin-Lehner |
2+ 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258m |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
637942319082288 = 24 · 33 · 118 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-281086,57323264] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:7997:1] |
Generators of the group modulo torsion |
j |
1386382367112625/360101808 |
j-invariant |
L |
6.5677191258141 |
L(r)(E,1)/r! |
Ω |
0.50039499372202 |
Real period |
R |
1.0937558009217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478p2 |
Quadratic twists by: -11 |