Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
102300u |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-2765714514750000 = -1 · 24 · 32 · 56 · 113 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12933,-2597112] |
[a1,a2,a3,a4,a6] |
j |
-957007003648/11062858059 |
j-invariant |
L |
1.5454871257726 |
L(r)(E,1)/r! |
Ω |
0.19318587503412 |
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 |
4092c1 |
Quadratic twists by: 5 |