Atkin-Lehner |
2+ 3- 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294l |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-151463431487088 = -1 · 24 · 312 · 72 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,769,592130] |
[a1,a2,a3,a4,a6] |
j |
50386513700375/151463431487088 |
j-invariant |
L |
1.8156516429581 |
L(r)(E,1)/r! |
Ω |
0.45391291078948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
126882br1 |
Quadratic twists by: -3 |