Atkin-Lehner |
5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63175b |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
311803173828125 = 511 · 72 · 194 |
Discriminant |
Eigenvalues |
2 0 5+ 7+ 3 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-153425,23115281] |
[a1,a2,a3,a4,a6] |
Generators |
[1330:11871:8] |
Generators of the group modulo torsion |
j |
196145197056/153125 |
j-invariant |
L |
11.70413012346 |
L(r)(E,1)/r! |
Ω |
0.53992006759249 |
Real period |
R |
0.90323015892737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635e1 63175k1 |
Quadratic twists by: 5 -19 |