Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4662g |
Isogeny class |
Conductor |
4662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-16240766976 = -1 · 212 · 37 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1323,19845] |
[a1,a2,a3,a4,a6] |
Generators |
[21:21:1] |
Generators of the group modulo torsion |
j |
-351447414193/22278144 |
j-invariant |
L |
2.5244323209824 |
L(r)(E,1)/r! |
Ω |
1.2190310920241 |
Real period |
R |
1.035425731755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296bq1 1554m1 116550eh1 32634u1 |
Quadratic twists by: -4 -3 5 -7 |