Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1950h |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-60652800 = -1 · 28 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -5 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-826,9068] |
[a1,a2,a3,a4,a6] |
Generators |
[13:17:1] |
Generators of the group modulo torsion |
j |
-2488672890625/2426112 |
j-invariant |
L |
2.6331485586651 |
L(r)(E,1)/r! |
Ω |
1.9620115785153 |
Real period |
R |
0.11183881326607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15600bg1 62400e1 5850bp1 1950r1 |
Quadratic twists by: -4 8 -3 5 |