Atkin-Lehner |
3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78771f |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-6837833945019 = -1 · 3 · 73 · 118 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 3 7+ 11- 3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6574,242868] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:665:1] |
Generators of the group modulo torsion |
j |
-17738739712/3859779 |
j-invariant |
L |
3.4037146904445 |
L(r)(E,1)/r! |
Ω |
0.71536506920029 |
Real period |
R |
1.1895026875835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161f1 |
Quadratic twists by: -11 |