Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600cl |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-5706547200000000 = -1 · 222 · 34 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 3 1 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103208,-13235088] |
[a1,a2,a3,a4,a6] |
j |
-75988526665/3566592 |
j-invariant |
L |
3.1876003369544 |
L(r)(E,1)/r! |
Ω |
0.13281668072909 |
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 |
6450p1 51600cv1 |
Quadratic twists by: -4 5 |