Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568cb |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-4047756291145728 = -1 · 216 · 36 · 75 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36789,-1411846] |
[a1,a2,a3,a4,a6] |
Generators |
[55:882:1] |
Generators of the group modulo torsion |
j |
1844124275447/1355585392 |
j-invariant |
L |
6.1017312341514 |
L(r)(E,1)/r! |
Ω |
0.24647950979383 |
Real period |
R |
1.2377765677435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8946s1 7952h1 |
Quadratic twists by: -4 -3 |