Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850ea |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
241415748000000 = 28 · 33 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3492305,2512853697] |
[a1,a2,a3,a4,a6] |
Generators |
[28533:20020:27] |
Generators of the group modulo torsion |
j |
11165451838341046875/572244736 |
j-invariant |
L |
7.8865473118055 |
L(r)(E,1)/r! |
Ω |
0.41647136649558 |
Real period |
R |
1.1835368446365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850m3 2394b1 |
Quadratic twists by: -3 5 |