Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305g |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
251904 |
Modular degree for the optimal curve |
Δ |
23519638182011625 = 36 · 53 · 178 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-251430,48024575] |
[a1,a2,a3,a4,a6] |
Generators |
[130952:258155:512] |
Generators of the group modulo torsion |
j |
2411284428241923681/32262878164625 |
j-invariant |
L |
3.2154177714365 |
L(r)(E,1)/r! |
Ω |
0.3807491269803 |
Real period |
R |
8.4449773974212 |
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 |
3145c1 |
Quadratic twists by: -3 |