Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605m |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1995840 |
Modular degree for the optimal curve |
Δ |
-1251794715669071875 = -1 · 55 · 76 · 237 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -2 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,181447,-44862771] |
[a1,a2,a3,a4,a6] |
Generators |
[55309392441438:2319484181973863:33199964344] |
Generators of the group modulo torsion |
j |
37933056/71875 |
j-invariant |
L |
11.279758918589 |
L(r)(E,1)/r! |
Ω |
0.14249342569887 |
Real period |
R |
19.78996375318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2645c1 5635l1 |
Quadratic twists by: -7 -23 |