Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050m |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-851208897656250 = -1 · 2 · 33 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12633,1289791] |
[a1,a2,a3,a4,a6] |
Generators |
[65:1511:1] |
Generators of the group modulo torsion |
j |
179685/686 |
j-invariant |
L |
3.8322666973726 |
L(r)(E,1)/r! |
Ω |
0.35627331935827 |
Real period |
R |
1.3445669690743 |
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 |
22050dj2 22050cz1 3150h1 |
Quadratic twists by: -3 5 -7 |