Atkin-Lehner |
2- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024s |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-538700568068096 = -1 · 233 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3 -3 7- -2 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3499,-1119526] |
[a1,a2,a3,a4,a6] |
Generators |
[1258665:23731966:3375] |
Generators of the group modulo torsion |
j |
-1156633033473/131518693376 |
j-invariant |
L |
8.6661441388626 |
L(r)(E,1)/r! |
Ω |
0.23048597093309 |
Real period |
R |
9.3998607636208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378n1 |
Quadratic twists by: -4 |