Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642n |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
213120 |
Modular degree for the optimal curve |
Δ |
-1517391124093872 = -1 · 24 · 33 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -2 -3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28492,-299961] |
[a1,a2,a3,a4,a6] |
j |
26973/16 |
j-invariant |
L |
6.696499888151 |
L(r)(E,1)/r! |
Ω |
0.27902082867295 |
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 |
24642b1 24642c1 |
Quadratic twists by: -3 37 |