Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92510l |
Isogeny class |
Conductor |
92510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-75899455759600 = -1 · 24 · 52 · 11 · 297 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18,419156] |
[a1,a2,a3,a4,a6] |
Generators |
[50:712:1] |
Generators of the group modulo torsion |
j |
-1/127600 |
j-invariant |
L |
3.9491548359423 |
L(r)(E,1)/r! |
Ω |
0.48640944881139 |
Real period |
R |
4.0594964298613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3190e1 |
Quadratic twists by: 29 |