Atkin-Lehner |
2- 3+ 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550bx |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
793600 |
Modular degree for the optimal curve |
Δ |
-3142206981504000 = -1 · 210 · 35 · 53 · 192 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-536028,-151300419] |
[a1,a2,a3,a4,a6] |
j |
-136262445243741269909/25137655852032 |
j-invariant |
L |
3.5288067045979 |
L(r)(E,1)/r! |
Ω |
0.088220167742332 |
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 |
65550bj1 |
Quadratic twists by: 5 |