Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fv |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-9568125000000 = -1 · 26 · 37 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4425,96500] |
[a1,a2,a3,a4,a6] |
Generators |
[16:414:1] |
Generators of the group modulo torsion |
j |
13144256/13125 |
j-invariant |
L |
6.4527131367576 |
L(r)(E,1)/r! |
Ω |
0.47928458593093 |
Real period |
R |
3.3658046445851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800eb1 50400bp2 33600z1 20160bi1 |
Quadratic twists by: -4 8 -3 5 |