Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350w |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
606732700 = 22 · 52 · 75 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-805,-9055] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:15:1] |
Generators of the group modulo torsion |
j |
6404818585/67228 |
j-invariant |
L |
4.5255052902985 |
L(r)(E,1)/r! |
Ω |
0.89671763273823 |
Real period |
R |
0.5046745142309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998525114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350de1 126350cr1 |
Quadratic twists by: 5 -19 |