Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850bk |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
18004045768704000 = 214 · 310 · 53 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156852,23061456] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:6396:1] |
Generators of the group modulo torsion |
j |
4683363968484629/197575262208 |
j-invariant |
L |
4.0356934796287 |
L(r)(E,1)/r! |
Ω |
0.38437933971679 |
Real period |
R |
2.6248116525996 |
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 |
7950bz1 23850dd1 |
Quadratic twists by: -3 5 |