Atkin-Lehner |
2+ 3+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598d |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
10720512 |
Modular degree for the optimal curve |
Δ |
1.1534248584741E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48595191,119724718941] |
[a1,a2,a3,a4,a6] |
Generators |
[48198:1684377:8] |
Generators of the group modulo torsion |
j |
470045428544099535305894379/42719439202743900219392 |
j-invariant |
L |
2.5618725342101 |
L(r)(E,1)/r! |
Ω |
0.084523970772921 |
Real period |
R |
2.525785003926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59598p2 |
Quadratic twists by: -3 |