Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24794s |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-111860479214747648 = -1 · 229 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3 0 7- 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24607,16166093] |
[a1,a2,a3,a4,a6] |
Generators |
[115741908:5697550025:46656] |
Generators of the group modulo torsion |
j |
-14006234957625/950798385152 |
j-invariant |
L |
7.2080323083046 |
L(r)(E,1)/r! |
Ω |
0.27518585406192 |
Real period |
R |
13.096662131991 |
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 |
3542h1 |
Quadratic twists by: -7 |