Atkin-Lehner |
2- 3+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
122544p |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-199144783872 = -1 · 214 · 33 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19635,-1059214] |
[a1,a2,a3,a4,a6] |
Generators |
[8229:124514:27] |
Generators of the group modulo torsion |
j |
-7569944872875/1800716 |
j-invariant |
L |
6.0166057867972 |
L(r)(E,1)/r! |
Ω |
0.20165344000068 |
Real period |
R |
7.4590913810081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15318c1 122544t2 |
Quadratic twists by: -4 -3 |