Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600by |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-5.83876512E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 -4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2264992,3435023988] |
[a1,a2,a3,a4,a6] |
Generators |
[2668:168750:1] |
Generators of the group modulo torsion |
j |
20079068607095399/91230705000000 |
j-invariant |
L |
6.7179877281943 |
L(r)(E,1)/r! |
Ω |
0.096604530523831 |
Real period |
R |
0.79024006008991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999518556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450y1 24720p1 |
Quadratic twists by: -4 5 |