Atkin-Lehner |
3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36309j |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
148289623209 = 36 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 2 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1324,-1324] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:135:1] |
Generators of the group modulo torsion |
j |
2181825073/1260441 |
j-invariant |
L |
1.9145948193865 |
L(r)(E,1)/r! |
Ω |
0.8646844232636 |
Real period |
R |
2.214212223414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108927s1 5187e1 |
Quadratic twists by: -3 -7 |