Atkin-Lehner |
3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112437d |
Isogeny class |
Conductor |
112437 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
337311 = 33 · 13 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 3 -4 0 13- 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41,-86] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
287091/13 |
j-invariant |
L |
4.9948985391481 |
L(r)(E,1)/r! |
Ω |
1.8956126526187 |
Real period |
R |
1.317489233273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112437c1 112437b1 |
Quadratic twists by: -3 -31 |