Atkin-Lehner |
3+ 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263g |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
291456 |
Modular degree for the optimal curve |
Δ |
-57489122654271 = -1 · 34 · 7 · 119 · 43 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4354,-345825] |
[a1,a2,a3,a4,a6] |
j |
3869893/24381 |
j-invariant |
L |
1.2520952933131 |
L(r)(E,1)/r! |
Ω |
0.31302392171481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109263c1 |
Quadratic twists by: -11 |