Atkin-Lehner |
2- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30100k |
Isogeny class |
Conductor |
30100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-21070000 = -1 · 24 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -5 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,588] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-35:1] [7:7:1] |
Generators of the group modulo torsion |
j |
-26214400/2107 |
j-invariant |
L |
6.0764153493244 |
L(r)(E,1)/r! |
Ω |
2.1113563037056 |
Real period |
R |
0.15988709718275 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400cd1 30100d1 |
Quadratic twists by: -4 5 |