Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642i |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
569088 |
Modular degree for the optimal curve |
Δ |
-1700790397254623232 = -1 · 213 · 37 · 377 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 1 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18225,62733933] |
[a1,a2,a3,a4,a6] |
j |
357911/909312 |
j-invariant |
L |
3.3364193524834 |
L(r)(E,1)/r! |
Ω |
0.20852620953022 |
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 |
8214k1 666e1 |
Quadratic twists by: -3 37 |