Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cf |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
73358315520 = 212 · 3 · 5 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1400,-14928] |
[a1,a2,a3,a4,a6] |
Generators |
[52:224:1] |
Generators of the group modulo torsion |
j |
74140932601/17909745 |
j-invariant |
L |
7.599073941006 |
L(r)(E,1)/r! |
Ω |
0.79415832814671 |
Real period |
R |
1.5947856747039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195g1 |
Quadratic twists by: -4 |