Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30528bm |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-14767291367424 = -1 · 219 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 0 1 2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3732,-162736] |
[a1,a2,a3,a4,a6] |
Generators |
[154:2016:1] |
Generators of the group modulo torsion |
j |
30080231/77274 |
j-invariant |
L |
5.5452639693795 |
L(r)(E,1)/r! |
Ω |
0.36175910336453 |
Real period |
R |
1.9160761670563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30528i1 7632o1 10176p1 |
Quadratic twists by: -4 8 -3 |