Atkin-Lehner |
2- 7- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
125552f |
Isogeny class |
Conductor |
125552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
474240 |
Modular degree for the optimal curve |
Δ |
-320174779531264 = -1 · 231 · 7 · 192 · 59 |
Discriminant |
Eigenvalues |
2- -2 3 7- -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14616,-522956] |
[a1,a2,a3,a4,a6] |
Generators |
[3790:233472:1] |
Generators of the group modulo torsion |
j |
84298462406423/78167670784 |
j-invariant |
L |
5.0042351051941 |
L(r)(E,1)/r! |
Ω |
0.29725177526598 |
Real period |
R |
2.1043756345851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999191461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15694a1 |
Quadratic twists by: -4 |