Atkin-Lehner |
2+ 3- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24174b |
Isogeny class |
Conductor |
24174 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
-1.3604499771197E+23 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12584214,-24698241036] |
[a1,a2,a3,a4,a6] |
j |
-302325297112819081420129/186618652554147397632 |
j-invariant |
L |
0.07796992634758 |
L(r)(E,1)/r! |
Ω |
0.038984963173669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8058c1 |
Quadratic twists by: -3 |