Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24794n |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
1301024091136 = 210 · 73 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11- -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75443,7944301] |
[a1,a2,a3,a4,a6] |
Generators |
[150:-251:1] |
Generators of the group modulo torsion |
j |
138450789390844783/3793073152 |
j-invariant |
L |
2.3828798333899 |
L(r)(E,1)/r! |
Ω |
0.79833328692219 |
Real period |
R |
0.14924091682163 |
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 |
24794l1 |
Quadratic twists by: -7 |