Atkin-Lehner |
2- 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102300w |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
1208114385761250000 = 24 · 32 · 57 · 112 · 316 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-293633,-30987012] |
[a1,a2,a3,a4,a6] |
j |
11199529273409536/4832457543045 |
j-invariant |
L |
1.7062524168168 |
L(r)(E,1)/r! |
Ω |
0.21328150436039 |
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 |
20460e1 |
Quadratic twists by: 5 |