Atkin-Lehner |
7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22253j |
Isogeny class |
Conductor |
22253 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
68544 |
Modular degree for the optimal curve |
Δ |
1707546833680303 = 7 · 112 · 1710 |
Discriminant |
Eigenvalues |
1 1 0 7- 11- 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43501,-2874563] |
[a1,a2,a3,a4,a6] |
Generators |
[415525:4771051:1331] |
Generators of the group modulo torsion |
j |
4515625/847 |
j-invariant |
L |
7.2699472010996 |
L(r)(E,1)/r! |
Ω |
0.33486999751376 |
Real period |
R |
10.854879886337 |
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 |
22253a1 |
Quadratic twists by: 17 |