Atkin-Lehner |
2- 5- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61640d |
Isogeny class |
Conductor |
61640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
280320 |
Modular degree for the optimal curve |
Δ |
-1018263212800000 = -1 · 211 · 55 · 232 · 673 |
Discriminant |
Eigenvalues |
2- 2 5- -3 5 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24080,-545268] |
[a1,a2,a3,a4,a6] |
Generators |
[69:1200:1] |
Generators of the group modulo torsion |
j |
753954559575838/497198834375 |
j-invariant |
L |
9.3165860574865 |
L(r)(E,1)/r! |
Ω |
0.2809860596984 |
Real period |
R |
3.3156755418112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123280d1 |
Quadratic twists by: -4 |