Atkin-Lehner |
3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989h |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
422688 |
Modular degree for the optimal curve |
Δ |
4992946122069 = 317 · 23 · 412 |
Discriminant |
Eigenvalues |
-2 3- -2 -4 -1 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27374,1730822] |
[a1,a2,a3,a4,a6] |
Generators |
[100:58:1] [-71:1822:1] |
Generators of the group modulo torsion |
j |
1349542769078272/2970223749 |
j-invariant |
L |
5.507585083158 |
L(r)(E,1)/r! |
Ω |
0.7695182766976 |
Real period |
R |
0.42101091401502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115989d1 |
Quadratic twists by: 41 |