Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984cl |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-4460215540547321856 = -1 · 226 · 33 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,384223,43961439] |
[a1,a2,a3,a4,a6] |
Generators |
[625:22992:1] |
Generators of the group modulo torsion |
j |
23929451044753463/17014372026624 |
j-invariant |
L |
5.1905592866463 |
L(r)(E,1)/r! |
Ω |
0.15553559848689 |
Real period |
R |
5.5620271035288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984p1 20496k1 |
Quadratic twists by: -4 8 |