Atkin-Lehner |
2+ 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120p |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4163040000 = -1 · 28 · 32 · 54 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,140,2992] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:36:1] [4:60:1] |
Generators of the group modulo torsion |
j |
1176960944/16261875 |
j-invariant |
L |
10.556908992477 |
L(r)(E,1)/r! |
Ω |
1.0273478457013 |
Real period |
R |
1.2844857071276 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560l2 |
Quadratic twists by: -4 |