Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488iv |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-10020544116194304 = -1 · 210 · 311 · 73 · 115 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90729,-11599281] |
[a1,a2,a3,a4,a6] |
Generators |
[450:6237:1] |
Generators of the group modulo torsion |
j |
-235165059164416/28529701497 |
j-invariant |
L |
11.339766211134 |
L(r)(E,1)/r! |
Ω |
0.13661218943126 |
Real period |
R |
0.75460897138598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488bg1 25872bq1 103488gr1 |
Quadratic twists by: -4 8 -7 |