Atkin-Lehner |
2- 3+ 5- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510k |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-16941312000000 = -1 · 214 · 34 · 56 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -2 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3135,187455] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:-352:1] |
Generators of the group modulo torsion |
j |
3407435858352239/16941312000000 |
j-invariant |
L |
6.0156099780984 |
L(r)(E,1)/r! |
Ω |
0.49873247908624 |
Real period |
R |
0.071796411407154 |
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 |
73530g1 122550w1 |
Quadratic twists by: -3 5 |