Atkin-Lehner |
2- 3- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282bb |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
190773501534 = 2 · 314 · 72 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38966,-2950729] |
[a1,a2,a3,a4,a6] |
Generators |
[489756:-5346241:1728] |
Generators of the group modulo torsion |
j |
8975180955007513/261692046 |
j-invariant |
L |
7.4445173824241 |
L(r)(E,1)/r! |
Ω |
0.33980497162181 |
Real period |
R |
10.954103094574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094m2 |
Quadratic twists by: -3 |