Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600cp |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3424256000 = -1 · 217 · 53 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 2 11+ 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,365,850] |
[a1,a2,a3,a4,a6] |
Generators |
[25:160:1] |
Generators of the group modulo torsion |
j |
10503459/6688 |
j-invariant |
L |
4.0375774827433 |
L(r)(E,1)/r! |
Ω |
0.87698768571101 |
Real period |
R |
0.57548947800263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450q1 83600co1 |
Quadratic twists by: -4 5 |