Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605k |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-1667738914296875 = -1 · 57 · 79 · 232 |
Discriminant |
Eigenvalues |
-1 3 5+ 7- -5 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35853,-3260288] |
[a1,a2,a3,a4,a6] |
Generators |
[280944:4472551:729] |
Generators of the group modulo torsion |
j |
-81892654209/26796875 |
j-invariant |
L |
7.2409658558538 |
L(r)(E,1)/r! |
Ω |
0.17063731963425 |
Real period |
R |
10.608707714149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515q1 129605bc1 |
Quadratic twists by: -7 -23 |