Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700j |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1727250000 = 24 · 3 · 56 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1233,16962] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:175:1] |
Generators of the group modulo torsion |
j |
829898752/6909 |
j-invariant |
L |
6.2354119449328 |
L(r)(E,1)/r! |
Ω |
1.4996241627174 |
Real period |
R |
0.69299718355589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3948c1 |
Quadratic twists by: 5 |