Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ba |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
623378357102592 = 211 · 37 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66778131,210038787826] |
[a1,a2,a3,a4,a6] |
Generators |
[5285:-68796:1] |
Generators of the group modulo torsion |
j |
187491149065688834/3549 |
j-invariant |
L |
4.2087170661331 |
L(r)(E,1)/r! |
Ω |
0.26559623251323 |
Real period |
R |
0.99039362840732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864n6 30576v6 13104v5 |
Quadratic twists by: -4 -3 -7 |