Atkin-Lehner |
2+ 3- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122544m |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-81661807936512 = -1 · 210 · 311 · 233 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 6 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2019,436178] |
[a1,a2,a3,a4,a6] |
j |
-1219284868/109393497 |
j-invariant |
L |
6.0081368745853 |
L(r)(E,1)/r! |
Ω |
0.50067818343315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61272f1 40848b1 |
Quadratic twists by: -4 -3 |