Atkin-Lehner |
5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
100555t |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-22222655 = -1 · 5 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
1 0 5- 7- 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64,-285] |
[a1,a2,a3,a4,a6] |
Generators |
[623766:342841:59319] |
Generators of the group modulo torsion |
j |
-13312053/10115 |
j-invariant |
L |
8.2136162561546 |
L(r)(E,1)/r! |
Ω |
0.81646065258771 |
Real period |
R |
10.060027049525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100555g1 |
Quadratic twists by: 13 |