Atkin-Lehner |
2+ 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190i |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2521842647040 = 216 · 39 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10665,419661] |
[a1,a2,a3,a4,a6] |
Generators |
[75:156:1] |
Generators of the group modulo torsion |
j |
184035526845841/3459317760 |
j-invariant |
L |
2.4444845704813 |
L(r)(E,1)/r! |
Ω |
0.81350314969967 |
Real period |
R |
3.0048864240824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730s1 |
Quadratic twists by: -3 |