Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200s |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9584640 |
Modular degree for the optimal curve |
Δ |
6.9343957E+21 |
Discriminant |
Eigenvalues |
2+ 3 5+ 3 -5 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21944800,39364772000] |
[a1,a2,a3,a4,a6] |
Generators |
[-49112669582337754308575160435:4991959434931075086651038500775:17771341743799846653821733] |
Generators of the group modulo torsion |
j |
4565397831743545344/27087483203125 |
j-invariant |
L |
12.264070586081 |
L(r)(E,1)/r! |
Ω |
0.13360605170474 |
Real period |
R |
45.896388784782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200cr1 3700e1 11840v1 |
Quadratic twists by: -4 8 5 |