Atkin-Lehner |
23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22103c |
Isogeny class |
Conductor |
22103 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
508369 = 232 · 312 |
Discriminant |
Eigenvalues |
-1 -1 1 3 -5 5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
923521/529 |
j-invariant |
L |
2.7442326978953 |
L(r)(E,1)/r! |
Ω |
2.4477777450021 |
Real period |
R |
0.56055593762516 |
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 |
22103a1 |
Quadratic twists by: -31 |