Atkin-Lehner |
7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
108241d |
Isogeny class |
Conductor |
108241 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-259886641 = -1 · 76 · 472 |
Discriminant |
Eigenvalues |
-1 -2 -3 7- 6 -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,48,769] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:26:1] |
Generators of the group modulo torsion |
j |
47 |
j-invariant |
L |
1.8778552466244 |
L(r)(E,1)/r! |
Ω |
1.3070277559547 |
Real period |
R |
0.7183685545829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998239189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2209a1 108241c1 |
Quadratic twists by: -7 -47 |