Atkin-Lehner |
2- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304s |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
168820736 = 220 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257,-1375] |
[a1,a2,a3,a4,a6] |
j |
7189057/644 |
j-invariant |
L |
4.7952883406503 |
L(r)(E,1)/r! |
Ω |
1.1988220851626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304o1 2576k1 92736es1 72128bq1 |
Quadratic twists by: -4 8 -3 -7 |