Atkin-Lehner |
7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22253g |
Isogeny class |
Conductor |
22253 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-187333145400709 = -1 · 73 · 113 · 177 |
Discriminant |
Eigenvalues |
-1 0 -1 7- 11+ 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40948,3266788] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:2118:1] [98:384:1] |
Generators of the group modulo torsion |
j |
-314570740401/7761061 |
j-invariant |
L |
4.8237082935241 |
L(r)(E,1)/r! |
Ω |
0.56686221795309 |
Real period |
R |
0.70912415468184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1309c1 |
Quadratic twists by: 17 |