Atkin-Lehner |
2- 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630bq |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
93514720320 = 26 · 310 · 5 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1607,20351] |
[a1,a2,a3,a4,a6] |
Generators |
[9:76:1] |
Generators of the group modulo torsion |
j |
629202484009/128278080 |
j-invariant |
L |
9.7134320270191 |
L(r)(E,1)/r! |
Ω |
1.0130178846322 |
Real period |
R |
0.79905071881703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210m1 |
Quadratic twists by: -3 |