Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
1830c |
Isogeny class |
Conductor |
1830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-1778760 = -1 · 23 · 36 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -7 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-654,6376] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:96:1] |
Generators of the group modulo torsion |
j |
-30867540216409/1778760 |
j-invariant |
L |
2.5350409281782 |
L(r)(E,1)/r! |
Ω |
2.5050810685459 |
Real period |
R |
1.5179394551389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14640u1 58560o1 5490w1 9150t1 |
Quadratic twists by: -4 8 -3 5 |