Atkin-Lehner |
3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
73101i |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-1784211985482507 = -1 · 321 · 72 · 592 |
Discriminant |
Eigenvalues |
0 3- 0 7- 0 -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-80043,8923475] |
[a1,a2,a3,a4,a6] |
Generators |
[237:1822:1] [155:514:1] |
Generators of the group modulo torsion |
j |
-16292779773952000/512557306947 |
j-invariant |
L |
10.745903635376 |
L(r)(E,1)/r! |
Ω |
0.46847934748131 |
Real period |
R |
0.5461390130403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73101h1 |
Quadratic twists by: -59 |