Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200ci |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-654480000000000 = -1 · 213 · 34 · 510 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,-1231488] |
[a1,a2,a3,a4,a6] |
Generators |
[122:450:1] |
Generators of the group modulo torsion |
j |
-47045881/10226250 |
j-invariant |
L |
3.4570009343941 |
L(r)(E,1)/r! |
Ω |
0.22829832692185 |
Real period |
R |
1.8928089859317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998178404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bn1 24240bo1 |
Quadratic twists by: -4 5 |