Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420s |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
195155159760 = 24 · 34 · 5 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3065,62790] |
[a1,a2,a3,a4,a6] |
Generators |
[7748:77103:64] |
Generators of the group modulo torsion |
j |
112377856/6885 |
j-invariant |
L |
6.4336787662068 |
L(r)(E,1)/r! |
Ω |
0.98950058885095 |
Real period |
R |
6.5019453515728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1020b1 |
Quadratic twists by: -11 |