Atkin-Lehner |
3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23829f |
Isogeny class |
Conductor |
23829 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-14247734806433817 = -1 · 37 · 137 · 473 |
Discriminant |
Eigenvalues |
-1 3+ 4 -5 5 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,41824,4722986] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/2951791713 |
j-invariant |
L |
1.6286062541327 |
L(r)(E,1)/r! |
Ω |
0.27143437568881 |
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 |
71487i1 1833c1 |
Quadratic twists by: -3 13 |