Atkin-Lehner |
3+ 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104811d |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
332142180993 = 310 · 73 · 232 · 31 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1824,10683] |
[a1,a2,a3,a4,a6] |
Generators |
[8394:-11:216] |
Generators of the group modulo torsion |
j |
1958285788831/968344551 |
j-invariant |
L |
8.554148158301 |
L(r)(E,1)/r! |
Ω |
0.85384664234445 |
Real period |
R |
5.00918299547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104811q1 |
Quadratic twists by: -7 |