Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025q |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-1.0907744022347E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 4 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-87046950,-312596465094] |
[a1,a2,a3,a4,a6] |
Generators |
[13171410:2496383891:343] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
5.5660801771496 |
L(r)(E,1)/r! |
Ω |
0.02471330219048 |
Real period |
R |
7.0383150222708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999700329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39675z1 23805i1 5175i1 |
Quadratic twists by: -3 5 -23 |