Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400cw |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-173560320000 = -1 · 212 · 37 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6833,216063] |
[a1,a2,a3,a4,a6] |
Generators |
[43:60:1] [-47:660:1] |
Generators of the group modulo torsion |
j |
-13784200000/67797 |
j-invariant |
L |
11.324344848933 |
L(r)(E,1)/r! |
Ω |
1.021466126691 |
Real period |
R |
0.13198051862133 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400v1 74400b1 |
Quadratic twists by: -4 5 |