Atkin-Lehner |
2+ 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928b |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12032 |
Modular degree for the optimal curve |
Δ |
-24164352 = -1 · 211 · 33 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -6 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,-206] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] [21:100:1] |
Generators of the group modulo torsion |
j |
182250/437 |
j-invariant |
L |
9.4813755561969 |
L(r)(E,1)/r! |
Ω |
1.1012542810975 |
Real period |
R |
1.0762018953004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31464a1 62928a1 |
Quadratic twists by: -4 -3 |