Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bk |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-5984318492764012544 = -1 · 231 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 1 3 5 11- 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100511,-117022721] |
[a1,a2,a3,a4,a6] |
Generators |
[5767143765:203418228736:4657463] |
Generators of the group modulo torsion |
j |
241804367/12886016 |
j-invariant |
L |
12.141304376311 |
L(r)(E,1)/r! |
Ω |
0.11443320779341 |
Real period |
R |
13.262435578883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672ea1 3146d1 9152i1 |
Quadratic twists by: -4 8 -11 |