Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bi |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-2142720000000000000 = -1 · 221 · 33 · 513 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -5 6 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1475265,692783775] |
[a1,a2,a3,a4,a6] |
Generators |
[795:4800:1] |
Generators of the group modulo torsion |
j |
-1354547383894636849/8173828125000 |
j-invariant |
L |
7.9734182421693 |
L(r)(E,1)/r! |
Ω |
0.26202381313367 |
Real period |
R |
0.19506492477631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29760cd1 930l1 89280bg1 |
Quadratic twists by: -4 8 -3 |