Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680eo |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1695152406528000 = -1 · 219 · 34 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-559585,161318017] |
[a1,a2,a3,a4,a6] |
Generators |
[109:10080:1] [429:-160:1] |
Generators of the group modulo torsion |
j |
-73923540638379769/6466493250 |
j-invariant |
L |
11.425127468366 |
L(r)(E,1)/r! |
Ω |
0.45149913063 |
Real period |
R |
0.21087392880603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680cw1 31920bs1 |
Quadratic twists by: -4 8 |