Atkin-Lehner |
2- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040t |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-137678028800 = -1 · 222 · 52 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 1 5- 4 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,400,-17452] |
[a1,a2,a3,a4,a6] |
Generators |
[596:14570:1] |
Generators of the group modulo torsion |
j |
1723683599/33612800 |
j-invariant |
L |
9.9129021209098 |
L(r)(E,1)/r! |
Ω |
0.50381375948017 |
Real period |
R |
4.9189318045028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13130i1 |
Quadratic twists by: -4 |