Atkin-Lehner |
3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24225b |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
630885997265625 = 36 · 58 · 17 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-164375,25554000] |
[a1,a2,a3,a4,a6] |
j |
31435119227026801/40376703825 |
j-invariant |
L |
2.0476179802752 |
L(r)(E,1)/r! |
Ω |
0.51190449506882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72675bf1 4845h1 |
Quadratic twists by: -3 5 |