Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800bk |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
967680000000 = 216 · 33 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2700,-26000] |
[a1,a2,a3,a4,a6] |
j |
78732/35 |
j-invariant |
L |
2.7607636307269 |
L(r)(E,1)/r! |
Ω |
0.69019089810072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jc1 12600bo1 100800bd1 20160g1 |
Quadratic twists by: -4 8 -3 5 |