Atkin-Lehner |
2- 3+ 5- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510j |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
245 |
Product of Tamagawa factors cp |
deg |
3096800 |
Modular degree for the optimal curve |
Δ |
-8.5742786577433E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 1 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23743220,-1339774675] |
[a1,a2,a3,a4,a6] |
Generators |
[493:102153:1] |
Generators of the group modulo torsion |
j |
1480275532813240068440258879/857427865774325760000000 |
j-invariant |
L |
7.4078563255482 |
L(r)(E,1)/r! |
Ω |
0.052906043611282 |
Real period |
R |
0.57150650858905 |
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 |
73530f1 122550s1 |
Quadratic twists by: -3 5 |