Atkin-Lehner |
5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
126175d |
Isogeny class |
Conductor |
126175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-28992895654296875 = -1 · 511 · 78 · 103 |
Discriminant |
Eigenvalues |
1 1 5+ 7- 6 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,55099,6510823] |
[a1,a2,a3,a4,a6] |
Generators |
[3457:202021:1] |
Generators of the group modulo torsion |
j |
10063705679/15771875 |
j-invariant |
L |
9.2797333984808 |
L(r)(E,1)/r! |
Ω |
0.25403897374332 |
Real period |
R |
4.5660973872504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998322449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25235b1 18025b1 |
Quadratic twists by: 5 -7 |