Atkin-Lehner |
3- 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104811t |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
514176 |
Modular degree for the optimal curve |
Δ |
-6394069126296243 = -1 · 313 · 73 · 233 · 312 |
Discriminant |
Eigenvalues |
0 3- -2 7- -3 -4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9721,-3826252] |
[a1,a2,a3,a4,a6] |
Generators |
[1654:67378:1] [142:661:1] |
Generators of the group modulo torsion |
j |
296154096828416/18641600951301 |
j-invariant |
L |
9.6029630063457 |
L(r)(E,1)/r! |
Ω |
0.20191912063599 |
Real period |
R |
0.30486194161408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104811k1 |
Quadratic twists by: -7 |