Atkin-Lehner |
3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989i |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8870400 |
Modular degree for the optimal curve |
Δ |
3.4175432869579E+20 |
Discriminant |
Eigenvalues |
0 3- -1 -1 -4 0 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-88036211,317905720877] |
[a1,a2,a3,a4,a6] |
Generators |
[6636773:72056240:1331] |
Generators of the group modulo torsion |
j |
15885635914127540224/71946700821 |
j-invariant |
L |
5.5630175240121 |
L(r)(E,1)/r! |
Ω |
0.15071068695284 |
Real period |
R |
3.0759915389717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999087145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2829b1 |
Quadratic twists by: 41 |