Atkin-Lehner |
2+ 3+ 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258b |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
249856 |
Modular degree for the optimal curve |
Δ |
13164087552 = 28 · 3 · 74 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1071301,-427237811] |
[a1,a2,a3,a4,a6] |
Generators |
[-20528171950:10268752703:34328125] |
Generators of the group modulo torsion |
j |
135974940189099079737817/13164087552 |
j-invariant |
L |
3.0773438654039 |
L(r)(E,1)/r! |
Ω |
0.14839580509267 |
Real period |
R |
10.368702348028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bq1 |
Quadratic twists by: -3 |