Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950be |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4240800 |
Modular degree for the optimal curve |
Δ |
-7.706800816128E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -5 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5135742,14089088916] |
[a1,a2,a3,a4,a6] |
Generators |
[2696033205791585:-143087091209997093:1213743410963] |
Generators of the group modulo torsion |
j |
-2104290928515625/10825465069568 |
j-invariant |
L |
4.6575795797959 |
L(r)(E,1)/r! |
Ω |
0.094224944298086 |
Real period |
R |
24.71521535243 |
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 |
3550k1 31950cw1 |
Quadratic twists by: -3 5 |