Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800ea |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
3.02582874888E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5302208,-4693610412] |
[a1,a2,a3,a4,a6] |
Generators |
[-1292:1350:1] |
Generators of the group modulo torsion |
j |
3574536770/6561 |
j-invariant |
L |
7.0295796385517 |
L(r)(E,1)/r! |
Ω |
0.099502327988107 |
Real period |
R |
1.4718205972019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400db1 58800h1 58800ce1 |
Quadratic twists by: -4 5 -7 |