Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23940r |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-77565600000 = -1 · 28 · 36 · 55 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29487,1948966] |
[a1,a2,a3,a4,a6] |
Generators |
[102:50:1] |
Generators of the group modulo torsion |
j |
-15193155676624/415625 |
j-invariant |
L |
6.1216760981929 |
L(r)(E,1)/r! |
Ω |
1.0097608781204 |
Real period |
R |
1.21250015342 |
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 |
95760et1 2660b1 119700k1 |
Quadratic twists by: -4 -3 5 |