Atkin-Lehner |
2+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73810a |
Isogeny class |
Conductor |
73810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78720 |
Modular degree for the optimal curve |
Δ |
64952800 = 25 · 52 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11+ -1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10573,414077] |
[a1,a2,a3,a4,a6] |
Generators |
[17:481:1] [31:327:1] |
Generators of the group modulo torsion |
j |
98221040983619/48800 |
j-invariant |
L |
5.755841976434 |
L(r)(E,1)/r! |
Ω |
1.6052405666116 |
Real period |
R |
0.89641423473928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73810h1 |
Quadratic twists by: -11 |