Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798r |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
357504 |
Modular degree for the optimal curve |
Δ |
-33026928940746 = -1 · 2 · 36 · 137 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 0 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93066,10954646] |
[a1,a2,a3,a4,a6] |
Generators |
[-2234:32213:8] [101:-1656:1] |
Generators of the group modulo torsion |
j |
-25334470953/9386 |
j-invariant |
L |
5.4827828862332 |
L(r)(E,1)/r! |
Ω |
0.64421369497055 |
Real period |
R |
1.0638517407027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6422h1 4446s1 |
Quadratic twists by: -3 13 |