Atkin-Lehner |
3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635d |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1229153310825 = 3 · 52 · 117 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1749057,-891065424] |
[a1,a2,a3,a4,a6] |
Generators |
[661369591325332:-54863645810082106:93638512421] |
Generators of the group modulo torsion |
j |
334025696259022321/693825 |
j-invariant |
L |
6.5646344165426 |
L(r)(E,1)/r! |
Ω |
0.13127998900426 |
Real period |
R |
25.002418367056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785a1 |
Quadratic twists by: -11 |