Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506x |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
103488 |
Modular degree for the optimal curve |
Δ |
-326621199286272 = -1 · 214 · 3 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29587,2130833] |
[a1,a2,a3,a4,a6] |
Generators |
[171:1366:1] |
Generators of the group modulo torsion |
j |
-13362445393/1523712 |
j-invariant |
L |
8.5119141872844 |
L(r)(E,1)/r! |
Ω |
0.52720925082929 |
Real period |
R |
0.38441021887986 |
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 |
67518n1 22506e1 |
Quadratic twists by: -3 -11 |