Atkin-Lehner |
2+ 5+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550l |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
-164002259575000000 = -1 · 26 · 58 · 7 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2040775,1121443125] |
[a1,a2,a3,a4,a6] |
Generators |
[825:0:1] |
Generators of the group modulo torsion |
j |
-60157446691437971569/10496144612800 |
j-invariant |
L |
6.3910446673845 |
L(r)(E,1)/r! |
Ω |
0.31283872821047 |
Real period |
R |
1.702433261705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710f1 |
Quadratic twists by: 5 |