Atkin-Lehner |
2+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344q |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
906240 |
Modular degree for the optimal curve |
Δ |
-67438207434752 = -1 · 217 · 75 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ -3 4 7+ 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9868,-546320] |
[a1,a2,a3,a4,a6] |
j |
-810776604402/514512691 |
j-invariant |
L |
2.7939471407133 |
L(r)(E,1)/r! |
Ω |
0.23282887007882 |
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 |
113344ed1 14168a1 |
Quadratic twists by: -4 8 |