Atkin-Lehner |
2+ 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600d |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-68423028750000 = -1 · 24 · 312 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1783,-398438] |
[a1,a2,a3,a4,a6] |
j |
-2508888064/273692115 |
j-invariant |
L |
0.54719713994365 |
L(r)(E,1)/r! |
Ω |
0.27359891686344 |
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 |
61800f1 24720c1 |
Quadratic twists by: -4 5 |