Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790a |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1576592640 = -1 · 28 · 33 · 5 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,285,405] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-51:1] |
Generators of the group modulo torsion |
j |
39413493/24320 |
j-invariant |
L |
4.0685320679887 |
L(r)(E,1)/r! |
Ω |
0.92858007222626 |
Real period |
R |
1.0953638210847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790da1 83790s1 |
Quadratic twists by: -3 -7 |