Atkin-Lehner |
2- 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034f |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-806304977600363208 = -1 · 23 · 32 · 116 · 436 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74923,43886369] |
[a1,a2,a3,a4,a6] |
Generators |
[1157:38250:1] |
Generators of the group modulo torsion |
j |
-7357983625/127552392 |
j-invariant |
L |
7.0087126998354 |
L(r)(E,1)/r! |
Ω |
0.23843459173317 |
Real period |
R |
2.4495581600806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998600737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66a4 |
Quadratic twists by: -43 |