Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720dd |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1740960000000000 = 214 · 33 · 510 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36960,1845108] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:1200:1] [36:750:1] |
Generators of the group modulo torsion |
j |
1363237116927841/425039062500 |
j-invariant |
L |
13.472345102841 |
L(r)(E,1)/r! |
Ω |
0.43639667998326 |
Real period |
R |
1.0290595476437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090u1 |
Quadratic twists by: -4 |