Atkin-Lehner |
2+ 3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
71094l |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-465146788875264 = -1 · 210 · 33 · 177 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-123554,-16758412] |
[a1,a2,a3,a4,a6] |
Generators |
[10989:1145881:1] |
Generators of the group modulo torsion |
j |
-8641627880761/19270656 |
j-invariant |
L |
6.1480588494746 |
L(r)(E,1)/r! |
Ω |
0.12730567130526 |
Real period |
R |
4.0244730037462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4182b1 |
Quadratic twists by: 17 |