Atkin-Lehner |
2- 3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22914i |
Isogeny class |
Conductor |
22914 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
534537792 = 26 · 38 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-311,-1713] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] |
Generators of the group modulo torsion |
j |
4549540393/733248 |
j-invariant |
L |
6.2882017600306 |
L(r)(E,1)/r! |
Ω |
1.1495489681948 |
Real period |
R |
0.91169115511238 |
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 |
7638a1 |
Quadratic twists by: -3 |