Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bv |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
13371281328384 = 28 · 37 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90111,10410050] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:4410:1] |
Generators of the group modulo torsion |
j |
3685542352/609 |
j-invariant |
L |
4.5320088012434 |
L(r)(E,1)/r! |
Ω |
0.68484481797858 |
Real period |
R |
1.654392603244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918544 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34104e1 14616l1 |
Quadratic twists by: -3 -7 |