Atkin-Lehner |
2- 3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46620u |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-536748889824000 = -1 · 28 · 36 · 53 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91992,-10796924] |
[a1,a2,a3,a4,a6] |
j |
-461324374319104/2876097875 |
j-invariant |
L |
2.4662819890478 |
L(r)(E,1)/r! |
Ω |
0.13701566604915 |
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 |
5180a1 |
Quadratic twists by: -3 |