Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400br |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
592950960000000 = 210 · 32 · 57 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8232408,-9094305312] |
[a1,a2,a3,a4,a6] |
Generators |
[56682:4295577:8] |
Generators of the group modulo torsion |
j |
32779037733124/315 |
j-invariant |
L |
7.0681931581354 |
L(r)(E,1)/r! |
Ω |
0.089128752727813 |
Real period |
R |
9.9128969914465 |
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 |
58800bf4 88200hb4 5880t3 4200d4 |
Quadratic twists by: -4 -3 5 -7 |