Atkin-Lehner |
3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24225c |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-46364353697109375 = -1 · 39 · 57 · 174 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5500,10360875] |
[a1,a2,a3,a4,a6] |
j |
1177249106879/2967318636615 |
j-invariant |
L |
1.1261055721339 |
L(r)(E,1)/r! |
Ω |
0.28152639303349 |
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 |
72675t1 4845f1 |
Quadratic twists by: -3 5 |