Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935w |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
595584 |
Modular degree for the optimal curve |
Δ |
-965016887401875 = -1 · 3 · 54 · 74 · 118 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 11- 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,21740,836373] |
[a1,a2,a3,a4,a6] |
Generators |
[267024:6508457:4096] |
Generators of the group modulo torsion |
j |
2207744/1875 |
j-invariant |
L |
12.398766826773 |
L(r)(E,1)/r! |
Ω |
0.32122012851584 |
Real period |
R |
9.6497430709816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935bs1 88935x1 |
Quadratic twists by: -7 -11 |