Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850f |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
9074457000000 = 26 · 33 · 56 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12117,495541] |
[a1,a2,a3,a4,a6] |
Generators |
[942:-7121:8] [-115:656:1] |
Generators of the group modulo torsion |
j |
466385893875/21509824 |
j-invariant |
L |
7.325044505133 |
L(r)(E,1)/r! |
Ω |
0.72257412578498 |
Real period |
R |
0.84478582009133 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850ds3 2394g1 |
Quadratic twists by: -3 5 |