Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5112c |
Isogeny class |
Conductor |
5112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
106002432 = 211 · 36 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 5 -2 -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,6374] |
[a1,a2,a3,a4,a6] |
Generators |
[14:2:1] |
Generators of the group modulo torsion |
j |
20436626/71 |
j-invariant |
L |
3.8580342917442 |
L(r)(E,1)/r! |
Ω |
1.8908907645729 |
Real period |
R |
2.0403263710559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10224e1 40896p1 568a1 127800m1 |
Quadratic twists by: -4 8 -3 5 |