Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cp |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
348037754292900 = 22 · 32 · 52 · 710 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20581,-698755] |
[a1,a2,a3,a4,a6] |
Generators |
[-26552:258697:512] |
Generators of the group modulo torsion |
j |
8194759433281/2958272100 |
j-invariant |
L |
11.00617204306 |
L(r)(E,1)/r! |
Ω |
0.41057609114109 |
Real period |
R |
6.7016640036303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7770r2 |
Quadratic twists by: -7 |