Atkin-Lehner |
2- 3+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78864l |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-131401546334208 = -1 · 217 · 39 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 5 -5 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12136,-202512] |
[a1,a2,a3,a4,a6] |
j |
48256373511143/32080455648 |
j-invariant |
L |
1.3312073790986 |
L(r)(E,1)/r! |
Ω |
0.33280184858897 |
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 |
9858c1 |
Quadratic twists by: -4 |