Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218z |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-2387522817792 = -1 · 28 · 32 · 7 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2127,-84267] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
j-invariant |
L |
5.2611915612132 |
L(r)(E,1)/r! |
Ω |
0.32882447257582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66654w1 42a1 |
Quadratic twists by: -3 -23 |