Atkin-Lehner |
2- 5+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bt |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
1.6012179692938E+24 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52980855,135384717647] |
[a1,a2,a3,a4,a6] |
Generators |
[2259:163870:1] |
Generators of the group modulo torsion |
j |
1052593215129982601686521/102477950034803200000 |
j-invariant |
L |
8.3767377760768 |
L(r)(E,1)/r! |
Ω |
0.082088445530622 |
Real period |
R |
1.0629715734885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310p1 |
Quadratic twists by: 5 |