Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380n |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
14476748383440 = 24 · 32 · 5 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6165,36810] |
[a1,a2,a3,a4,a6] |
Generators |
[1098:10605:8] |
Generators of the group modulo torsion |
j |
67108864/37485 |
j-invariant |
L |
6.062661705416 |
L(r)(E,1)/r! |
Ω |
0.60801246131881 |
Real period |
R |
4.9856393618275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140k1 |
Quadratic twists by: 17 |