Atkin-Lehner |
2- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550q |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
4310570300 = 22 · 52 · 23 · 374 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 3 1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-553,3837] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:85:1] |
Generators of the group modulo torsion |
j |
748183593145/172422812 |
j-invariant |
L |
5.7816418480302 |
L(r)(E,1)/r! |
Ω |
1.3015714065528 |
Real period |
R |
0.55525592169984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550l1 |
Quadratic twists by: 5 |