Atkin-Lehner |
3- 7+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
71379b |
Isogeny class |
Conductor |
71379 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
917504 |
Modular degree for the optimal curve |
Δ |
96719484995975457 = 313 · 72 · 11 · 1034 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-252851,46657410] |
[a1,a2,a3,a4,a6] |
Generators |
[3742:42351:8] |
Generators of the group modulo torsion |
j |
2452384712863090153/132674190666633 |
j-invariant |
L |
2.3473053470653 |
L(r)(E,1)/r! |
Ω |
0.33260951372931 |
Real period |
R |
3.5286202726227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004432 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23793a1 |
Quadratic twists by: -3 |