Atkin-Lehner |
2- 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360bb |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-15906897920 = -1 · 221 · 5 · 37 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- -2 2 -5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,6068] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:38:1] |
Generators of the group modulo torsion |
j |
-1/3883520 |
j-invariant |
L |
6.7812580556258 |
L(r)(E,1)/r! |
Ω |
0.98505798801895 |
Real period |
R |
3.4420602883446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000001343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15170m1 |
Quadratic twists by: -4 |