Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218g |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-19478972691864 = -1 · 23 · 35 · 77 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 2 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3748,228424] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:580:1] |
Generators of the group modulo torsion |
j |
-478762350767/1600967592 |
j-invariant |
L |
2.7763324872935 |
L(r)(E,1)/r! |
Ω |
0.60124027262256 |
Real period |
R |
0.3298339655677 |
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 |
66654bx1 22218a1 |
Quadratic twists by: -3 -23 |