Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280br |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
379009110690000 = 24 · 33 · 54 · 75 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94539471,-353839691646] |
[a1,a2,a3,a4,a6] |
Generators |
[490247215401:97380198765519:11697083] |
Generators of the group modulo torsion |
j |
5840408678681577126692337664/23688069418125 |
j-invariant |
L |
5.1438228927373 |
L(r)(E,1)/r! |
Ω |
0.048416820066871 |
Real period |
R |
17.706735268284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560g1 114240bl1 42840y1 71400m1 |
Quadratic twists by: -4 8 -3 5 |