Atkin-Lehner |
2+ 3- 5- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103230o |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2090407500 = -1 · 22 · 36 · 54 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5244,147500] |
[a1,a2,a3,a4,a6] |
Generators |
[46:22:1] |
Generators of the group modulo torsion |
j |
-21879168694209/2867500 |
j-invariant |
L |
4.7896670626042 |
L(r)(E,1)/r! |
Ω |
1.4150214646708 |
Real period |
R |
0.21155452398696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11470c1 |
Quadratic twists by: -3 |