Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946c |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.8036729461109E+30 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13036949389,-576581407686611] |
[a1,a2,a3,a4,a6] |
Generators |
[96373454341238980695208763362241940729322105614:-128153428429286911662206508228495331841590940931673:54311510506545832823245932465968333951453] |
Generators of the group modulo torsion |
j |
-2066385560512615597563209/15209589710095910928 |
j-invariant |
L |
2.0340194030946 |
L(r)(E,1)/r! |
Ω |
0.0070612998642689 |
Real period |
R |
72.012924043455 |
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 |
98838bi2 32946i2 |
Quadratic twists by: -3 17 |