Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480ba |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-50976000 = -1 · 28 · 33 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -6 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2367,-44326] |
[a1,a2,a3,a4,a6] |
j |
-212185037808/7375 |
j-invariant |
L |
2.0533847827639 |
L(r)(E,1)/r! |
Ω |
0.34223079713745 |
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 |
10620e1 42480q2 |
Quadratic twists by: -4 -3 |