Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63175t |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
414504 |
Modular degree for the optimal curve |
Δ |
74303088304375 = 54 · 7 · 198 |
Discriminant |
Eigenvalues |
1 -3 5- 7- -6 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10717,-99134] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:406:1] |
Generators of the group modulo torsion |
j |
12825/7 |
j-invariant |
L |
1.4439267507166 |
L(r)(E,1)/r! |
Ω |
0.50095556538113 |
Real period |
R |
0.96078165450988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63175a1 63175x1 |
Quadratic twists by: 5 -19 |