Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bd |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-61920000 = -1 · 28 · 32 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 1 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,-612] |
[a1,a2,a3,a4,a6] |
Generators |
[18:60:1] |
Generators of the group modulo torsion |
j |
-878800/387 |
j-invariant |
L |
7.7598457018896 |
L(r)(E,1)/r! |
Ω |
0.72443061496666 |
Real period |
R |
0.89263732804008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800bb1 51600k1 |
Quadratic twists by: -4 5 |