Atkin-Lehner |
2+ 3+ 13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30498d |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
58240 |
Modular degree for the optimal curve |
Δ |
-7135669272576 = -1 · 214 · 3 · 135 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,748,128592] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1596:1] |
Generators of the group modulo torsion |
j |
46187131456439/7135669272576 |
j-invariant |
L |
3.9113092571396 |
L(r)(E,1)/r! |
Ω |
0.57434685513804 |
Real period |
R |
0.68100124900998 |
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 |
91494bd1 |
Quadratic twists by: -3 |