Atkin-Lehner |
3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725u |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2192640 |
Modular degree for the optimal curve |
Δ |
-2113651171875 = -1 · 3 · 58 · 172 · 792 |
Discriminant |
Eigenvalues |
2 3- 5- 1 -2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6549708,6449619119] |
[a1,a2,a3,a4,a6] |
Generators |
[320478:92717:216] |
Generators of the group modulo torsion |
j |
-79548053964145807360/5410947 |
j-invariant |
L |
17.408583293204 |
L(r)(E,1)/r! |
Ω |
0.45538473826558 |
Real period |
R |
3.1856914639674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725d1 |
Quadratic twists by: 5 |