Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480bd |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1522135203840 = -1 · 218 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -4 -5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,71226] |
[a1,a2,a3,a4,a6] |
j |
-14348907/18880 |
j-invariant |
L |
3.0608596798 |
L(r)(E,1)/r! |
Ω |
0.76521491994987 |
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 |
5310k1 42480t1 |
Quadratic twists by: -4 -3 |