Atkin-Lehner |
2+ 5- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17630a |
Isogeny class |
Conductor |
17630 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3449600 |
Modular degree for the optimal curve |
Δ |
8.774374016983E+24 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-94147004,-321405515440] |
[a1,a2,a3,a4,a6] |
Generators |
[109838:7840311:8] |
Generators of the group modulo torsion |
j |
92287573504549355414160488601/8774374016983040000000000 |
j-invariant |
L |
3.8626331124187 |
L(r)(E,1)/r! |
Ω |
0.048762912082562 |
Real period |
R |
7.9212519258053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88150j1 |
Quadratic twists by: 5 |