Atkin-Lehner |
2+ 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
22326a |
Isogeny class |
Conductor |
22326 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-35115761664 = -1 · 220 · 32 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 -2 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-443,-9891] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1469:1] |
Generators of the group modulo torsion |
j |
-2593021489/9437184 |
j-invariant |
L |
1.893054650834 |
L(r)(E,1)/r! |
Ω |
0.4767278734448 |
Real period |
R |
0.99273335810792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66978l1 22326g1 |
Quadratic twists by: -3 61 |