Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728g |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2732458777904524032 = -1 · 28 · 33 · 712 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2839599,-1843478882] |
[a1,a2,a3,a4,a6] |
Generators |
[243445:455988:125] |
Generators of the group modulo torsion |
j |
-3113886554501616/3360173089 |
j-invariant |
L |
7.4728418463153 |
L(r)(E,1)/r! |
Ω |
0.058146985672585 |
Real period |
R |
8.0322756155153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864d2 91728i2 13104d2 |
Quadratic twists by: -4 -3 -7 |