Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30276g |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
146160 |
Modular degree for the optimal curve |
Δ |
-3457703206386432 = -1 · 28 · 33 · 298 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 0 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,2829124] |
[a1,a2,a3,a4,a6] |
Generators |
[307720:15269322:125] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.7837546210804 |
L(r)(E,1)/r! |
Ω |
0.35371244849523 |
Real period |
R |
9.5893636906758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121104bo1 30276g2 30276d1 |
Quadratic twists by: -4 -3 29 |