Atkin-Lehner |
2+ 3- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346n |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-26349315739287552 = -1 · 216 · 38 · 112 · 17 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 11+ 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,69615,3301213] |
[a1,a2,a3,a4,a6] |
Generators |
[779:22628:1] |
Generators of the group modulo torsion |
j |
51180103175750639/36144466034688 |
j-invariant |
L |
6.4376051312025 |
L(r)(E,1)/r! |
Ω |
0.23829144777379 |
Real period |
R |
2.2513065349196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34782w1 |
Quadratic twists by: -3 |