Atkin-Lehner |
2- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42952j |
Isogeny class |
Conductor |
42952 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
60928 |
Modular degree for the optimal curve |
Δ |
-9540554593024 = -1 · 28 · 77 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 0 3 7- 0 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3964,-113388] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-686:1] |
Generators of the group modulo torsion |
j |
26908202308608/37267791379 |
j-invariant |
L |
7.4330572243104 |
L(r)(E,1)/r! |
Ω |
0.38702683101877 |
Real period |
R |
0.68591195277335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904c1 |
Quadratic twists by: -4 |