Atkin-Lehner |
2+ 3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270d |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-856608030720 = -1 · 214 · 33 · 5 · 13 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -3 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30420,2050256] |
[a1,a2,a3,a4,a6] |
Generators |
[200:1884:1] |
Generators of the group modulo torsion |
j |
-115304327640815067/31726223360 |
j-invariant |
L |
3.5935436135762 |
L(r)(E,1)/r! |
Ω |
0.86911199084306 |
Real period |
R |
0.34456085171196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36270bj1 |
Quadratic twists by: -3 |