Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450m |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1098240 |
Modular degree for the optimal curve |
Δ |
-1.191318003675E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15862617,-24318725459] |
[a1,a2,a3,a4,a6] |
Generators |
[236659311224785350:27509812847135949013:15978254214203] |
Generators of the group modulo torsion |
j |
-62004137551272025/16734014208 |
j-invariant |
L |
4.3315165032716 |
L(r)(E,1)/r! |
Ω |
0.037824118610532 |
Real period |
R |
28.629328735142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6150v1 18450cc1 |
Quadratic twists by: -3 5 |