Atkin-Lehner |
2+ 5- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bl |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1827840 |
Modular degree for the optimal curve |
Δ |
3096645818384384000 = 228 · 53 · 75 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-497477,-105096619] |
[a1,a2,a3,a4,a6] |
j |
108926414977542704541/24773166547075072 |
j-invariant |
L |
1.8269934508279 |
L(r)(E,1)/r! |
Ω |
0.18269935013103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113050cr1 |
Quadratic twists by: 5 |