Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bv |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-6206747115520000 = -1 · 219 · 54 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45095,-895303] |
[a1,a2,a3,a4,a6] |
Generators |
[23:380:1] [359:7660:1] |
Generators of the group modulo torsion |
j |
137927116575/84410368 |
j-invariant |
L |
13.549242306163 |
L(r)(E,1)/r! |
Ω |
0.24558424242391 |
Real period |
R |
0.24198010734038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350m1 8050s1 |
Quadratic twists by: 5 -7 |