Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dx |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-111820800 = -1 · 214 · 3 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112,192] |
[a1,a2,a3,a4,a6] |
j |
1503815/1092 |
j-invariant |
L |
2.3854799411359 |
L(r)(E,1)/r! |
Ω |
1.1927398424118 |
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 |
13650co1 109200gp1 |
Quadratic twists by: -4 5 |