Atkin-Lehner |
3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2385c |
Isogeny class |
Conductor |
2385 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-6911193375 = -1 · 39 · 53 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-407,-4994] |
[a1,a2,a3,a4,a6] |
j |
-377933067/351125 |
j-invariant |
L |
1.5359426944976 |
L(r)(E,1)/r! |
Ω |
0.51198089816585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160bb1 2385b1 11925d1 116865a1 |
Quadratic twists by: -4 -3 5 -7 |