Atkin-Lehner |
2+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116242h |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
3095550829298693696 = 26 · 73 · 1910 · 23 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-406855,-53059254] |
[a1,a2,a3,a4,a6] |
Generators |
[-81386812:-762695650:571787] |
Generators of the group modulo torsion |
j |
158314081170673/65798551616 |
j-invariant |
L |
3.6619232526633 |
L(r)(E,1)/r! |
Ω |
0.19611580844751 |
Real period |
R |
9.3361247283234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998769484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118j1 |
Quadratic twists by: -19 |