Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960y |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
101111208307410000 = 24 · 3 · 54 · 79 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134815,-11310788] |
[a1,a2,a3,a4,a6] |
j |
143957189392384/53714443125 |
j-invariant |
L |
2.0561604554072 |
L(r)(E,1)/r! |
Ω |
0.25702008392209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280o1 |
Quadratic twists by: -7 |