Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935m |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-4.8174685593168E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,207392,-10559939837] |
[a1,a2,a3,a4,a6] |
Generators |
[1712135786:73520793875:571787] |
Generators of the group modulo torsion |
j |
4733169839/231139696095 |
j-invariant |
L |
5.2565905887007 |
L(r)(E,1)/r! |
Ω |
0.052079607788821 |
Real period |
R |
12.616719882119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705m1 8085g1 |
Quadratic twists by: -7 -11 |