Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300h |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
53044992 |
Modular degree for the optimal curve |
Δ |
-2.2437876365215E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608148133,23510131943137] |
[a1,a2,a3,a4,a6] |
j |
-6218589009063615570313216/56094690913037211867075 |
j-invariant |
L |
1.1292833940509 |
L(r)(E,1)/r! |
Ω |
0.026887699873556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9660f1 |
Quadratic twists by: 5 |