Atkin-Lehner |
2- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36080w |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-4618240000000 = -1 · 217 · 57 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11- 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4120,-19600] |
[a1,a2,a3,a4,a6] |
Generators |
[10:150:1] |
Generators of the group modulo torsion |
j |
1887773984279/1127500000 |
j-invariant |
L |
7.6997352175761 |
L(r)(E,1)/r! |
Ω |
0.45102569079074 |
Real period |
R |
1.2194007973371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510c1 |
Quadratic twists by: -4 |