Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850m |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
2378814455808000000 = 224 · 33 · 56 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-422742,-75299084] |
[a1,a2,a3,a4,a6] |
j |
19804628171203875/5638671302656 |
j-invariant |
L |
2.295426533732 |
L(r)(E,1)/r! |
Ω |
0.19128554456031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850ea3 2394h1 |
Quadratic twists by: -3 5 |