Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950cb |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-4043671875000 = -1 · 23 · 36 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2695,79697] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:196:1] |
Generators of the group modulo torsion |
j |
304175/568 |
j-invariant |
L |
8.5826362470733 |
L(r)(E,1)/r! |
Ω |
0.53790426462526 |
Real period |
R |
2.6592824570906 |
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 |
3550e1 31950bh1 |
Quadratic twists by: -3 5 |