Atkin-Lehner |
2+ 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480f |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
109378105885440000 = 211 · 35 · 54 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-652456,-202007600] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:242:1] |
Generators of the group modulo torsion |
j |
14998509870588948818/53407278264375 |
j-invariant |
L |
6.4623016061971 |
L(r)(E,1)/r! |
Ω |
0.16801756597447 |
Real period |
R |
4.8077574235672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51240f4 |
Quadratic twists by: -4 |