Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850w |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
807097761792000 = 218 · 33 · 53 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-287637,59432821] |
[a1,a2,a3,a4,a6] |
Generators |
[69:6283:1] |
Generators of the group modulo torsion |
j |
779803240794564519/239140077568 |
j-invariant |
L |
4.2965933140326 |
L(r)(E,1)/r! |
Ω |
0.49207212221861 |
Real period |
R |
2.1829083176936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850ek1 59850ei1 |
Quadratic twists by: -3 5 |