Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545r |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-887420572567875 = -1 · 38 · 53 · 196 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5- -5 -2 6 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-36220,-3003537] |
[a1,a2,a3,a4,a6] |
Generators |
[636566:2776523:2744] |
Generators of the group modulo torsion |
j |
-111701610496/18862875 |
j-invariant |
L |
10.094338733798 |
L(r)(E,1)/r! |
Ω |
0.17145014267448 |
Real period |
R |
4.9063529198985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998377932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
345f1 |
Quadratic twists by: -19 |