Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672eg |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-359144114089885696 = -1 · 223 · 117 · 133 |
Discriminant |
Eigenvalues |
2- -2 -3 -1 11- 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50497,29145279] |
[a1,a2,a3,a4,a6] |
Generators |
[3439:-201344:1] [623:15488:1] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
5.9392929798575 |
L(r)(E,1)/r! |
Ω |
0.25334827855534 |
Real period |
R |
0.48839988611431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672bv1 25168bc1 9152s1 |
Quadratic twists by: -4 8 -11 |