Atkin-Lehner |
2- 3- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510x |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
3.8811104068243E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8482568,765232107] |
[a1,a2,a3,a4,a6] |
Generators |
[-2367:88233:1] |
Generators of the group modulo torsion |
j |
92593006371868013165881/53238825882363420000 |
j-invariant |
L |
11.488733944439 |
L(r)(E,1)/r! |
Ω |
0.098246444922883 |
Real period |
R |
5.8468954605369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40170c1 |
Quadratic twists by: -3 |