Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742bf |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-11795023552100976 = -1 · 24 · 39 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,56239,961201] |
[a1,a2,a3,a4,a6] |
Generators |
[2303776:73976707:32768] |
Generators of the group modulo torsion |
j |
6751269/4048 |
j-invariant |
L |
9.2922980985094 |
L(r)(E,1)/r! |
Ω |
0.24616062395573 |
Real period |
R |
9.4372303781609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742f1 4554v1 |
Quadratic twists by: -3 -23 |