Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ba |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4017940070400 = -1 · 218 · 36 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1332,-94608] |
[a1,a2,a3,a4,a6] |
Generators |
[94:-928:1] [72:612:1] |
Generators of the group modulo torsion |
j |
1367631/21025 |
j-invariant |
L |
9.3094412317771 |
L(r)(E,1)/r! |
Ω |
0.3821795132303 |
Real period |
R |
3.0448522583229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ej2 1305g2 9280i2 |
Quadratic twists by: -4 8 -3 |