Atkin-Lehner |
2- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304u |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-308234661855232 = -1 · 216 · 75 · 234 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16767,-117761] |
[a1,a2,a3,a4,a6] |
j |
7953970437500/4703287687 |
j-invariant |
L |
0.63817340443451 |
L(r)(E,1)/r! |
Ω |
0.31908670221726 |
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 |
10304n1 2576b1 92736ef1 72128bh1 |
Quadratic twists by: -4 8 -3 -7 |