Atkin-Lehner |
2+ 3- 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30498h |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-26227163529216 = -1 · 218 · 39 · 13 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3490,233552] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2221:1] |
Generators of the group modulo torsion |
j |
4703042060452007/26227163529216 |
j-invariant |
L |
4.7413889750271 |
L(r)(E,1)/r! |
Ω |
0.48282398635132 |
Real period |
R |
0.54556216356026 |
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 |
91494bg1 |
Quadratic twists by: -3 |