Atkin-Lehner |
2- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
71300g |
Isogeny class |
Conductor |
71300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-2852000000 = -1 · 28 · 56 · 23 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 -6 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20708,1153912] |
[a1,a2,a3,a4,a6] |
Generators |
[77:100:1] [81:38:1] |
Generators of the group modulo torsion |
j |
-245526946000/713 |
j-invariant |
L |
6.7900507353557 |
L(r)(E,1)/r! |
Ω |
1.2451017162345 |
Real period |
R |
2.7267052349298 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2852a1 |
Quadratic twists by: 5 |