Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850cv |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
360000 |
Modular degree for the optimal curve |
Δ |
286516406250 = 2 · 33 · 58 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 6 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3263,-67233] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:521:8] |
Generators of the group modulo torsion |
j |
9836106385/733482 |
j-invariant |
L |
10.755188190616 |
L(r)(E,1)/r! |
Ω |
0.63465332057325 |
Real period |
R |
2.8244260177175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850i1 |
Quadratic twists by: 5 |