Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245be |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-1987213376715 = -1 · 3 · 5 · 711 · 67 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -5 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4720,-143636] |
[a1,a2,a3,a4,a6] |
Generators |
[3628:218515:1] |
Generators of the group modulo torsion |
j |
-98867482624/16891035 |
j-invariant |
L |
3.5732637079915 |
L(r)(E,1)/r! |
Ω |
0.28532525853899 |
Real period |
R |
6.2617374400013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7035c1 |
Quadratic twists by: -7 |