Atkin-Lehner |
3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112437c |
Isogeny class |
Conductor |
112437 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
245899719 = 39 · 13 · 312 |
Discriminant |
Eigenvalues |
1 3+ -3 -4 0 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-366,2681] |
[a1,a2,a3,a4,a6] |
Generators |
[16:19:1] |
Generators of the group modulo torsion |
j |
287091/13 |
j-invariant |
L |
3.6614258290351 |
L(r)(E,1)/r! |
Ω |
1.7362520799527 |
Real period |
R |
1.0544050252836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999795504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112437d1 112437a1 |
Quadratic twists by: -3 -31 |