Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351v |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1542182733 = 310 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2 3- 4 7- -5 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17446,881143] |
[a1,a2,a3,a4,a6] |
Generators |
[634:401:8] |
Generators of the group modulo torsion |
j |
11985057719627776/31473117 |
j-invariant |
L |
20.27626267831 |
L(r)(E,1)/r! |
Ω |
1.3062674235107 |
Real period |
R |
1.5522290699905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78351c1 |
Quadratic twists by: -7 |