Atkin-Lehner |
3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
73101c |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-507836726108901 = -1 · 311 · 77 · 592 |
Discriminant |
Eigenvalues |
1 3- -3 7+ -4 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25915,-1939633] |
[a1,a2,a3,a4,a6] |
Generators |
[199:791:1] |
Generators of the group modulo torsion |
j |
-552903371148433/145888171821 |
j-invariant |
L |
5.9083021448762 |
L(r)(E,1)/r! |
Ω |
0.18558087895816 |
Real period |
R |
2.8942549462719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73101e1 |
Quadratic twists by: -59 |