Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720bd |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-6181218395095040 = -1 · 219 · 5 · 119 |
Discriminant |
Eigenvalues |
2+ 3 5- 5 11+ 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37268,2576816] |
[a1,a2,a3,a4,a6] |
j |
9261/10 |
j-invariant |
L |
9.004361163379 |
L(r)(E,1)/r! |
Ω |
0.28138628635451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720da1 1210i1 38720be1 |
Quadratic twists by: -4 8 -11 |