Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488bg |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
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] |
j |
-235165059164416/28529701497 |
j-invariant |
L |
0.7915225883462 |
L(r)(E,1)/r! |
Ω |
0.39576129026224 |
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 |
103488iv1 6468t1 103488dl1 |
Quadratic twists by: -4 8 -7 |