Atkin-Lehner |
3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
73101h |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
19824000 |
Modular degree for the optimal curve |
Δ |
-7.525901367632E+25 |
Discriminant |
Eigenvalues |
0 3- 0 7- 0 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-278630843,-1838267032630] |
[a1,a2,a3,a4,a6] |
j |
-16292779773952000/512557306947 |
j-invariant |
L |
1.0327528415623 |
L(r)(E,1)/r! |
Ω |
0.018442014594224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73101i1 |
Quadratic twists by: -59 |