Atkin-Lehner |
2- 3- 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
113712q |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-9431728128 = -1 · 214 · 35 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2264,40980] |
[a1,a2,a3,a4,a6] |
Generators |
[28:18:1] [-26:288:1] |
Generators of the group modulo torsion |
j |
-313461959257/2302668 |
j-invariant |
L |
10.206975583067 |
L(r)(E,1)/r! |
Ω |
1.3021514305815 |
Real period |
R |
0.39192736487585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14214c1 |
Quadratic twists by: -4 |