Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700x |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
14554181250000 = 24 · 35 · 58 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12633,-519012] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:150:1] |
Generators of the group modulo torsion |
j |
891943960576/58216725 |
j-invariant |
L |
8.0648802712153 |
L(r)(E,1)/r! |
Ω |
0.45216383017703 |
Real period |
R |
1.7836190626457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540f1 |
Quadratic twists by: 5 |