Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
105280q |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-51977328200000 = -1 · 26 · 55 · 76 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1207,-347244] |
[a1,a2,a3,a4,a6] |
Generators |
[272:4410:1] |
Generators of the group modulo torsion |
j |
-3038544131904/812145753125 |
j-invariant |
L |
7.978249878672 |
L(r)(E,1)/r! |
Ω |
0.28247151523546 |
Real period |
R |
1.8829626876122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280l1 52640d2 |
Quadratic twists by: -4 8 |