Atkin-Lehner |
2- 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109040f |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
936000 |
Modular degree for the optimal curve |
Δ |
-1117633830400000 = -1 · 212 · 55 · 292 · 473 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-957968,-360893392] |
[a1,a2,a3,a4,a6] |
Generators |
[23886214:997660117:10648] |
Generators of the group modulo torsion |
j |
-23736504859171467264/272859821875 |
j-invariant |
L |
4.5194845455759 |
L(r)(E,1)/r! |
Ω |
0.076301224723183 |
Real period |
R |
9.8720228339547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998876421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6815a1 |
Quadratic twists by: -4 |