Atkin-Lehner |
2+ 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270j |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62720 |
Modular degree for the optimal curve |
Δ |
-12850243380 = -1 · 22 · 313 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19485,1051785] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:924:1] [96:195:1] |
Generators of the group modulo torsion |
j |
-1122302554698961/17627220 |
j-invariant |
L |
5.8362342015675 |
L(r)(E,1)/r! |
Ω |
1.1556391615246 |
Real period |
R |
0.63127773745012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090bf1 |
Quadratic twists by: -3 |