Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225br |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-431331075 = -1 · 37 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 1 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-255,-1859] |
[a1,a2,a3,a4,a6] |
Generators |
[482:3587:8] |
Generators of the group modulo torsion |
j |
-100618240/23667 |
j-invariant |
L |
11.454863106659 |
L(r)(E,1)/r! |
Ω |
0.59000513142232 |
Real period |
R |
3.2358088928942 |
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 |
12075l1 36225ce1 |
Quadratic twists by: -3 5 |