Atkin-Lehner |
2+ 3+ 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
44622a |
Isogeny class |
Conductor |
44622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-7055180227673856 = -1 · 28 · 33 · 373 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68658,-8000300] |
[a1,a2,a3,a4,a6] |
Generators |
[3012:163126:1] |
Generators of the group modulo torsion |
j |
-1325674648101255291/261302971395328 |
j-invariant |
L |
1.9477651063669 |
L(r)(E,1)/r! |
Ω |
0.14591584553808 |
Real period |
R |
6.6742755017235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999525 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44622c1 |
Quadratic twists by: -3 |