Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200dg |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1820283840000000 = -1 · 212 · 39 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60075,-6027750] |
[a1,a2,a3,a4,a6] |
j |
-19034163/1445 |
j-invariant |
L |
2.4289950667468 |
L(r)(E,1)/r! |
Ω |
0.15181219160843 |
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 |
3825a1 61200ds1 12240bf1 |
Quadratic twists by: -4 -3 5 |