Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480t |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2087976960 = -1 · 218 · 33 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,-2638] |
[a1,a2,a3,a4,a6] |
j |
-14348907/18880 |
j-invariant |
L |
2.3056545444282 |
L(r)(E,1)/r! |
Ω |
0.57641363609293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5310a1 42480bd1 |
Quadratic twists by: -4 -3 |