Atkin-Lehner |
2+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42826d |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
10505824441596064 = 25 · 78 · 195 · 23 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -5 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-79063,6986074] |
[a1,a2,a3,a4,a6] |
j |
464566023349849/89298034336 |
j-invariant |
L |
0.77071978015144 |
L(r)(E,1)/r! |
Ω |
0.38535989009335 |
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 |
6118b1 |
Quadratic twists by: -7 |