Atkin-Lehner |
5- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22015a |
Isogeny class |
Conductor |
22015 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
7551145 = 5 · 74 · 17 · 37 |
Discriminant |
Eigenvalues |
1 0 5- 7- 6 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:87:8] |
Generators of the group modulo torsion |
j |
13160971881/7551145 |
j-invariant |
L |
6.7697099294951 |
L(r)(E,1)/r! |
Ω |
1.9571452187196 |
Real period |
R |
3.4589717026332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110075e1 |
Quadratic twists by: 5 |