Atkin-Lehner |
2- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51700f |
Isogeny class |
Conductor |
51700 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
22320 |
Modular degree for the optimal curve |
Δ |
3027758800 = 24 · 52 · 115 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- -5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-693,-6278] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:22:1] |
Generators of the group modulo torsion |
j |
92148858880/7569397 |
j-invariant |
L |
4.3704660225104 |
L(r)(E,1)/r! |
Ω |
0.93524498489921 |
Real period |
R |
0.93461415843866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51700l1 |
Quadratic twists by: 5 |