Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fr |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
184089926845440000 = 213 · 34 · 54 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-618200,186150000] |
[a1,a2,a3,a4,a6] |
Generators |
[82:11662:1] |
Generators of the group modulo torsion |
j |
158077154143/1113750 |
j-invariant |
L |
7.3177244718092 |
L(r)(E,1)/r! |
Ω |
0.32146033106176 |
Real period |
R |
2.845500607421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999090226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170ba2 129360gu2 |
Quadratic twists by: -4 -7 |