Atkin-Lehner |
2+ 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270v |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1202782780368000 = -1 · 27 · 315 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31410,-2707884] |
[a1,a2,a3,a4,a6] |
Generators |
[3270:56397:8] |
Generators of the group modulo torsion |
j |
-4701189640361761/1649907792000 |
j-invariant |
L |
3.7011631779097 |
L(r)(E,1)/r! |
Ω |
0.17619695530728 |
Real period |
R |
5.251457341381 |
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 |
12090bl1 |
Quadratic twists by: -3 |