Atkin-Lehner |
2+ 3- 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142j |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
121040640 |
Modular degree for the optimal curve |
Δ |
-6.0209887339806E+29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 0 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7052485923,-230996463713771] |
[a1,a2,a3,a4,a6] |
j |
-53213627810719029578255093900593/825924380518597830702769152 |
j-invariant |
L |
1.3825879273782 |
L(r)(E,1)/r! |
Ω |
0.0082296900491923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21714i1 |
Quadratic twists by: -3 |