Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7038h |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-735369315876864 = -1 · 217 · 315 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,22392,191808] |
[a1,a2,a3,a4,a6] |
j |
1703193262339967/1008737058816 |
j-invariant |
L |
1.2348676133621 |
L(r)(E,1)/r! |
Ω |
0.30871690334053 |
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 |
56304bq1 2346j1 119646s1 |
Quadratic twists by: -4 -3 17 |