Atkin-Lehner |
5- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78925o |
Isogeny class |
Conductor |
78925 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
192240 |
Modular degree for the optimal curve |
Δ |
7311661328125 = 58 · 73 · 113 · 41 |
Discriminant |
Eigenvalues |
2 -1 5- 7- 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5208,-61557] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:-1929:8] |
Generators of the group modulo torsion |
j |
40000000000/18717853 |
j-invariant |
L |
10.28954589131 |
L(r)(E,1)/r! |
Ω |
0.588048934277 |
Real period |
R |
0.6480656114489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78925d1 |
Quadratic twists by: 5 |