Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cm |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
3.8602801152E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 6 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2897208,1875372912] |
[a1,a2,a3,a4,a6] |
Generators |
[37017:7114500:1] |
Generators of the group modulo torsion |
j |
336180796842437/4825350144 |
j-invariant |
L |
5.3054858212577 |
L(r)(E,1)/r! |
Ω |
0.20536024808703 |
Real period |
R |
6.4587546201101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150p1 121200dv1 |
Quadratic twists by: -4 5 |