Atkin-Lehner |
2- 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464bk |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
720896 |
Modular degree for the optimal curve |
Δ |
-33582316018987008 = -1 · 212 · 316 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28496,-8629760] |
[a1,a2,a3,a4,a6] |
Generators |
[176:1344:1] |
Generators of the group modulo torsion |
j |
624741318596303/8198807621823 |
j-invariant |
L |
5.0066193535971 |
L(r)(E,1)/r! |
Ω |
0.18068212024144 |
Real period |
R |
3.4636931324062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279i1 |
Quadratic twists by: -4 |