Atkin-Lehner |
5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605u |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
544896 |
Modular degree for the optimal curve |
Δ |
-40874929491235 = -1 · 5 · 74 · 237 |
Discriminant |
Eigenvalues |
2 2 5- 7+ 2 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8640,-433217] |
[a1,a2,a3,a4,a6] |
Generators |
[19041785030:265775738281:79507000] |
Generators of the group modulo torsion |
j |
-200704/115 |
j-invariant |
L |
23.914323527934 |
L(r)(E,1)/r! |
Ω |
0.241211765326 |
Real period |
R |
16.523740328407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129605r1 5635a1 |
Quadratic twists by: -7 -23 |