Atkin-Lehner |
2+ 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080w |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
425984 |
Modular degree for the optimal curve |
Δ |
302246022210000 = 24 · 3 · 54 · 118 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34255,-2303872] |
[a1,a2,a3,a4,a6] |
j |
277835875530520576/18890376388125 |
j-invariant |
L |
2.8194265332173 |
L(r)(E,1)/r! |
Ω |
0.35242831473511 |
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 |
62040s1 |
Quadratic twists by: -4 |