Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800bu |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
55306395648000 = 216 · 39 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63180,6102000] |
[a1,a2,a3,a4,a6] |
j |
172974204/343 |
j-invariant |
L |
2.5172882075386 |
L(r)(E,1)/r! |
Ω |
0.62932197735221 |
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 |
100800kp1 12600bp1 100800bs1 100800co1 |
Quadratic twists by: -4 8 -3 5 |