Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344dw |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
424824193024 = 214 · 7 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44177,-3588529] |
[a1,a2,a3,a4,a6] |
Generators |
[-1484489:120928:12167] |
Generators of the group modulo torsion |
j |
581972233018192/25929211 |
j-invariant |
L |
5.6839931079018 |
L(r)(E,1)/r! |
Ω |
0.32930690817914 |
Real period |
R |
8.6302366410592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344u1 28336bp1 |
Quadratic twists by: -4 8 |