Atkin-Lehner |
2- 3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464x |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51627528546048 = 28 · 32 · 78 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11508,329868] |
[a1,a2,a3,a4,a6] |
Generators |
[89:52:1] |
Generators of the group modulo torsion |
j |
658447335250000/201670033383 |
j-invariant |
L |
3.9998311039121 |
L(r)(E,1)/r! |
Ω |
0.58573808050957 |
Real period |
R |
3.4143512583243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25116f2 |
Quadratic twists by: -4 |