Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600cc |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1716940800000000 = 218 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437208,-111107088] |
[a1,a2,a3,a4,a6] |
j |
5776556465785/1073088 |
j-invariant |
L |
2.2279915231225 |
L(r)(E,1)/r! |
Ω |
0.18566596026025 |
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 |
3450l1 110400ji1 82800fa1 27600ck1 |
Quadratic twists by: -4 8 -3 5 |