Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34692g |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15411665111808 = 28 · 3 · 78 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37452,-2770872] |
[a1,a2,a3,a4,a6] |
Generators |
[5002252470:39663969191:19683000] |
Generators of the group modulo torsion |
j |
192899964112/511707 |
j-invariant |
L |
5.2008401952516 |
L(r)(E,1)/r! |
Ω |
0.34324093345626 |
Real period |
R |
15.152156075564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104076w2 4956b2 |
Quadratic twists by: -3 -7 |