Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850bo |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-299769652000000 = -1 · 28 · 56 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 1 13- 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2680,-834053] |
[a1,a2,a3,a4,a6] |
Generators |
[109:345:1] |
Generators of the group modulo torsion |
j |
-23625/3328 |
j-invariant |
L |
8.4576290113626 |
L(r)(E,1)/r! |
Ω |
0.2425997113585 |
Real period |
R |
2.1789053674059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1274a1 31850bq1 |
Quadratic twists by: 5 -7 |