Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270by |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-328966230528000000 = -1 · 215 · 313 · 56 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166963,8440949] |
[a1,a2,a3,a4,a6] |
Generators |
[87:4816:1] |
Generators of the group modulo torsion |
j |
706088829719957111/451256832000000 |
j-invariant |
L |
9.7156756395737 |
L(r)(E,1)/r! |
Ω |
0.18972350978163 |
Real period |
R |
0.14224904398388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090m1 |
Quadratic twists by: -3 |