Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850cn |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-2058106017012500000 = -1 · 25 · 58 · 78 · 134 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -1 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-215013,78883531] |
[a1,a2,a3,a4,a6] |
Generators |
[685:-16268:1] |
Generators of the group modulo torsion |
j |
-23920470625/44783648 |
j-invariant |
L |
6.5735245061864 |
L(r)(E,1)/r! |
Ω |
0.23332226774612 |
Real period |
R |
0.23477986655132 |
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 |
31850f1 4550v1 |
Quadratic twists by: 5 -7 |