Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900p |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-954202315500000000 = -1 · 28 · 315 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545333,162153537] |
[a1,a2,a3,a4,a6] |
Generators |
[-175096:8993375:512] |
Generators of the group modulo torsion |
j |
-35870699159552/1908404631 |
j-invariant |
L |
4.7479549992287 |
L(r)(E,1)/r! |
Ω |
0.27539541033584 |
Real period |
R |
8.6202507758502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119700ch1 39900ba1 |
Quadratic twists by: -3 5 |