Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730i |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
Δ |
-3.6397954810547E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1154528,2863602784] |
[a1,a2,a3,a4,a6] |
Generators |
[-747:40186:1] |
Generators of the group modulo torsion |
j |
170190978202632673472759/3639795481054687500000 |
j-invariant |
L |
2.2108226270988 |
L(r)(E,1)/r! |
Ω |
0.10490748645189 |
Real period |
R |
0.30105745028606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840ce2 87360cs2 8190bj2 13650cq2 |
Quadratic twists by: -4 8 -3 5 |