Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270i |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-102155034539520 = -1 · 29 · 318 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 -3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-112014,-14409900] |
[a1,a2,a3,a4,a6] |
Generators |
[12058461:167951106:24389] |
Generators of the group modulo torsion |
j |
-213213786511688929/140130362880 |
j-invariant |
L |
3.1755335414684 |
L(r)(E,1)/r! |
Ω |
0.13047706591543 |
Real period |
R |
12.168933747816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160bv1 3090i1 46350cb1 |
Quadratic twists by: -4 -3 5 |