Atkin-Lehner |
2+ 3- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894t |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7360 |
Modular degree for the optimal curve |
Δ |
-6493344 = -1 · 25 · 3 · 112 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 11- 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21,118] |
[a1,a2,a3,a4,a6] |
Generators |
[4:14:1] |
Generators of the group modulo torsion |
j |
1095912791/6493344 |
j-invariant |
L |
3.6302697430755 |
L(r)(E,1)/r! |
Ω |
1.7186925220435 |
Real period |
R |
1.0561137889748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bo1 |
Quadratic twists by: -3 |