Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120i |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
543970560000 = 211 · 3 · 54 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7960,-268400] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:28:1] |
Generators of the group modulo torsion |
j |
27238771813682/265610625 |
j-invariant |
L |
6.9611246755077 |
L(r)(E,1)/r! |
Ω |
0.50573430971645 |
Real period |
R |
0.8602744236241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560m4 |
Quadratic twists by: -4 |