Atkin-Lehner |
3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
73101l |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-2030965083 = -1 · 35 · 74 · 592 |
Discriminant |
Eigenvalues |
-2 3- -2 7- -6 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-334,3088] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:16:1] [8:31:1] |
Generators of the group modulo torsion |
j |
-1187295232/583443 |
j-invariant |
L |
5.7944661874153 |
L(r)(E,1)/r! |
Ω |
1.3724856304298 |
Real period |
R |
0.21109387445957 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73101k1 |
Quadratic twists by: -59 |