Atkin-Lehner |
2+ 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978h |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1892383223808 = -1 · 212 · 3 · 77 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2964,24144] |
[a1,a2,a3,a4,a6] |
Generators |
[17:274:1] [41:445:1] |
Generators of the group modulo torsion |
j |
24464768327/16084992 |
j-invariant |
L |
5.421927620631 |
L(r)(E,1)/r! |
Ω |
0.5214960349992 |
Real period |
R |
10.396872184543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854i1 |
Quadratic twists by: -7 |