Atkin-Lehner |
2+ 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590s |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-510655055127321600 = -1 · 210 · 316 · 52 · 19 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29754,-34430540] |
[a1,a2,a3,a4,a6] |
Generators |
[5852900:38053214:15625] |
Generators of the group modulo torsion |
j |
-3996137932836769/700487044070400 |
j-invariant |
L |
5.2414550825109 |
L(r)(E,1)/r! |
Ω |
0.13079468390416 |
Real period |
R |
10.01847882125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530s1 |
Quadratic twists by: -3 |