Atkin-Lehner |
2- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
49984t |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
558083218604032 = 229 · 114 · 71 |
Discriminant |
Eigenvalues |
2- -3 0 1 11- 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275500,-55646768] |
[a1,a2,a3,a4,a6] |
j |
8821625150390625/2128918528 |
j-invariant |
L |
1.6671145057029 |
L(r)(E,1)/r! |
Ω |
0.20838931319585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49984d1 12496g1 |
Quadratic twists by: -4 8 |