Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304d |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
503384667121728 = 26 · 33 · 76 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2476785,1500308136] |
[a1,a2,a3,a4,a6] |
j |
972399888658114344000/291310571251 |
j-invariant |
L |
2.520058487764 |
L(r)(E,1)/r! |
Ω |
0.42000974795663 |
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 |
38304b1 76608dp1 38304bd1 |
Quadratic twists by: -4 8 -3 |