Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800cm |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
96768000 = 212 · 33 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,-800] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:8:1] |
Generators of the group modulo torsion |
j |
46656/7 |
j-invariant |
L |
6.6741612850804 |
L(r)(E,1)/r! |
Ω |
1.3165166023088 |
Real period |
R |
1.2673902635335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800bv1 50400q1 100800cp1 100800bq1 |
Quadratic twists by: -4 8 -3 5 |