Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225a |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-7990940671875 = -1 · 33 · 56 · 77 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ -1 0 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9525,382781] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:5171:8] |
Generators of the group modulo torsion |
j |
-226534772736/18941489 |
j-invariant |
L |
11.158195776825 |
L(r)(E,1)/r! |
Ω |
0.72325524830273 |
Real period |
R |
3.8569356402906 |
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 |
36225b1 1449b1 |
Quadratic twists by: -3 5 |