Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850fs |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
475089300 = 22 · 36 · 52 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200,-233] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:31:1] |
Generators of the group modulo torsion |
j |
48317985/26068 |
j-invariant |
L |
9.2327414696639 |
L(r)(E,1)/r! |
Ω |
1.3527365228615 |
Real period |
R |
1.1375387733909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650h1 59850cz1 |
Quadratic twists by: -3 5 |