Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270ca |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-13898823239808000 = -1 · 210 · 313 · 53 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 1 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52258,3308141] |
[a1,a2,a3,a4,a6] |
Generators |
[981:31099:1] |
Generators of the group modulo torsion |
j |
21650220735939431/19065601152000 |
j-invariant |
L |
9.484816981711 |
L(r)(E,1)/r! |
Ω |
0.25817108620577 |
Real period |
R |
0.10205137308477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090n1 |
Quadratic twists by: -3 |