Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bf |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-44431441920 = -1 · 217 · 37 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1025,-16545] |
[a1,a2,a3,a4,a6] |
Generators |
[43:144:1] |
Generators of the group modulo torsion |
j |
-909513218/338985 |
j-invariant |
L |
7.7226091323612 |
L(r)(E,1)/r! |
Ω |
0.41414779021823 |
Real period |
R |
0.66596387938607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29760ca1 3720f1 89280bd1 |
Quadratic twists by: -4 8 -3 |