Atkin-Lehner |
2- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
1022b |
Isogeny class |
Conductor |
1022 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-535822336 = -1 · 220 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-331,2651] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:74:1] |
Generators of the group modulo torsion |
j |
-3999236143617/535822336 |
j-invariant |
L |
3.0776727915483 |
L(r)(E,1)/r! |
Ω |
1.5935252764419 |
Real period |
R |
1.5450889105043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8176a1 32704a1 9198d1 25550d1 |
Quadratic twists by: -4 8 -3 5 |