Atkin-Lehner |
2+ 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120r |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
263163600 = 24 · 33 · 52 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1555,-23078] |
[a1,a2,a3,a4,a6] |
j |
26006036555776/16447725 |
j-invariant |
L |
3.0410263097881 |
L(r)(E,1)/r! |
Ω |
0.76025655214245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560bg1 |
Quadratic twists by: -4 |