Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950ca |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
35348906250000 = 24 · 35 · 510 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73643588,-243279382219] |
[a1,a2,a3,a4,a6] |
Generators |
[-61454480331605566509794296:30716079245858572795214927:12402529023257197433344] |
Generators of the group modulo torsion |
j |
2826887369998878529467769/2262330000 |
j-invariant |
L |
7.2655115406017 |
L(r)(E,1)/r! |
Ω |
0.051536606654412 |
Real period |
R |
35.244421452318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850bw1 3990j1 |
Quadratic twists by: -3 5 |