Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800bu |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-22413312000000000 = -1 · 226 · 32 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31408,7525312] |
[a1,a2,a3,a4,a6] |
j |
-53540005609/350208000 |
j-invariant |
L |
1.3130565530629 |
L(r)(E,1)/r! |
Ω |
0.32826413826573 |
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 |
2850z1 91200ih1 68400en1 4560w1 |
Quadratic twists by: -4 8 -3 5 |