Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112i |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
551040 |
Modular degree for the optimal curve |
Δ |
-3999454910176948992 = -1 · 28 · 37 · 710 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,208207,-88929741] |
[a1,a2,a3,a4,a6] |
Generators |
[1195:43218:1] |
Generators of the group modulo torsion |
j |
3899129331122048000/15622870742878707 |
j-invariant |
L |
7.5845731307662 |
L(r)(E,1)/r! |
Ω |
0.12539767945943 |
Real period |
R |
0.21601485209359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224d1 105336bu1 |
Quadratic twists by: -4 -3 |