Atkin-Lehner |
2- 3+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
23484b |
Isogeny class |
Conductor |
23484 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
478080 |
Modular degree for the optimal curve |
Δ |
-1.0442494538739E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 0 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-734292,-287552376] |
[a1,a2,a3,a4,a6] |
Generators |
[1169:21218:1] [1478:43054:1] |
Generators of the group modulo torsion |
j |
-171037259085835202128/40790994291949581 |
j-invariant |
L |
5.1913880357427 |
L(r)(E,1)/r! |
Ω |
0.080529948724748 |
Real period |
R |
1.0744218182083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93936h1 70452k1 |
Quadratic twists by: -4 -3 |