Atkin-Lehner |
2+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29450a |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-993892585216000000 = -1 · 214 · 56 · 194 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-369551,98850498] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:11236:1] |
Generators of the group modulo torsion |
j |
-357211261606717153/63609125453824 |
j-invariant |
L |
2.696879336565 |
L(r)(E,1)/r! |
Ω |
0.26715490215476 |
Real period |
R |
2.5237037714946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1178a1 |
Quadratic twists by: 5 |