Atkin-Lehner |
5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
61985p |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
861840 |
Modular degree for the optimal curve |
Δ |
-1438713636956855875 = -1 · 53 · 710 · 116 · 23 |
Discriminant |
Eigenvalues |
0 2 5- 7- 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,251305,-31374512] |
[a1,a2,a3,a4,a6] |
j |
6213624037376/5093237875 |
j-invariant |
L |
2.6858975107296 |
L(r)(E,1)/r! |
Ω |
0.14921652862673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61985b1 |
Quadratic twists by: -7 |