Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568bx |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-116840968667136 = -1 · 214 · 315 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30747,2139338] |
[a1,a2,a3,a4,a6] |
Generators |
[109:288:1] |
Generators of the group modulo torsion |
j |
-1076575468249/39129804 |
j-invariant |
L |
8.1955280436768 |
L(r)(E,1)/r! |
Ω |
0.58683771939918 |
Real period |
R |
1.745697271266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8946q1 23856s1 |
Quadratic twists by: -4 -3 |