Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150s |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-19320000 = -1 · 26 · 3 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -1 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-100,400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:20:1] |
Generators of the group modulo torsion |
j |
-179726425/30912 |
j-invariant |
L |
3.0913272249285 |
L(r)(E,1)/r! |
Ω |
2.0882552003977 |
Real period |
R |
0.24672329514929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450ez1 24150cf1 |
Quadratic twists by: -3 5 |