Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247s |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-4063176412416711 = -1 · 36 · 179 · 47 |
Discriminant |
Eigenvalues |
1 3- -2 -2 0 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28557,2433240] |
[a1,a2,a3,a4,a6] |
Generators |
[-25112152:1515088063:1124864] |
Generators of the group modulo torsion |
j |
29791/47 |
j-invariant |
L |
4.3934853231873 |
L(r)(E,1)/r! |
Ω |
0.29936370402095 |
Real period |
R |
14.676079052602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998577349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13583b1 122247r1 |
Quadratic twists by: -3 17 |