Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568s |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-202848903936 = -1 · 28 · 313 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -5 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-556527,-159800258] |
[a1,a2,a3,a4,a6] |
j |
-102144487949235664/1086939 |
j-invariant |
L |
0.6991783546549 |
L(r)(E,1)/r! |
Ω |
0.087397296572277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35784f1 23856j1 |
Quadratic twists by: -4 -3 |