Atkin-Lehner |
2+ 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31464a |
Isogeny class |
Conductor |
31464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6016 |
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] |
j |
182250/437 |
j-invariant |
L |
2.9700225207365 |
L(r)(E,1)/r! |
Ω |
1.4850112603694 |
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 |
62928b1 31464f1 |
Quadratic twists by: -4 -3 |