Atkin-Lehner |
2- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
71188d |
Isogeny class |
Conductor |
71188 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
533671093072 = 24 · 13 · 376 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 -2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5476,-151959] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:51:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
2.6556217480067 |
L(r)(E,1)/r! |
Ω |
0.55598633314011 |
Real period |
R |
3.1842770108027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52a2 |
Quadratic twists by: 37 |