Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935cf |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
6525949080853125 = 37 · 55 · 72 · 117 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-50255,-1939591] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:907:1] |
Generators of the group modulo torsion |
j |
161702969344/75178125 |
j-invariant |
L |
7.8632626123126 |
L(r)(E,1)/r! |
Ω |
0.33346435585241 |
Real period |
R |
0.16843227951497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935a1 8085z1 |
Quadratic twists by: -7 -11 |