Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18700j |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-1168750000 = -1 · 24 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- -1 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3833,90088] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:225:1] |
Generators of the group modulo torsion |
j |
-996720640/187 |
j-invariant |
L |
3.0407457443935 |
L(r)(E,1)/r! |
Ω |
1.4956995708239 |
Real period |
R |
2.0329923225949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74800db1 18700c1 |
Quadratic twists by: -4 5 |