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 |
Δ |
-895655601603 = -1 · 37 · 76 · 592 |
Discriminant |
Eigenvalues |
0 3- 0 7- 0 -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6531693,6423024872] |
[a1,a2,a3,a4,a6] |
Generators |
[-7350:863453:8] [1344:-8600:1] |
Generators of the group modulo torsion |
j |
-8853134196996308992000/257298363 |
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 |
73101h2 |
Quadratic twists by: -59 |