Atkin-Lehner |
3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61275h |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
212432765625 = 32 · 56 · 19 · 433 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-786763,268539392] |
[a1,a2,a3,a4,a6] |
j |
3446954125979451625/13595697 |
j-invariant |
L |
0.66993534916458 |
L(r)(E,1)/r! |
Ω |
0.66993535036042 |
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 |
2451b1 |
Quadratic twists by: 5 |