Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bm |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1279030080960 = -1 · 26 · 33 · 5 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4067,-112669] |
[a1,a2,a3,a4,a6] |
j |
-1860867/320 |
j-invariant |
L |
3.5536970178944 |
L(r)(E,1)/r! |
Ω |
0.29614141819463 |
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 |
47610f3 90b1 |
Quadratic twists by: -3 -23 |