Atkin-Lehner |
2- 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17980c |
Isogeny class |
Conductor |
17980 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
137376 |
Modular degree for the optimal curve |
Δ |
1492781191442000 = 24 · 53 · 292 · 316 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288021,59370580] |
[a1,a2,a3,a4,a6] |
Generators |
[2889:152801:1] |
Generators of the group modulo torsion |
j |
165149665753368100864/93298824465125 |
j-invariant |
L |
2.7366798163502 |
L(r)(E,1)/r! |
Ω |
0.47187000434447 |
Real period |
R |
5.7996477656002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
71920i1 89900e1 |
Quadratic twists by: -4 5 |