Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550cw |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
1248 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-1.5962982556631E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4865438,-19661960508] |
[a1,a2,a3,a4,a6] |
Generators |
[4828:261010:1] |
Generators of the group modulo torsion |
j |
-815210040317744637721/10216308836243865600 |
j-invariant |
L |
12.329812363875 |
L(r)(E,1)/r! |
Ω |
0.043659894743403 |
Real period |
R |
0.90514715163112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910g1 |
Quadratic twists by: 5 |