Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600r |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49536 |
Modular degree for the optimal curve |
Δ |
-16244480000 = -1 · 211 · 54 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 0 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,392,-5488] |
[a1,a2,a3,a4,a6] |
Generators |
[16:68:1] |
Generators of the group modulo torsion |
j |
5191150/12691 |
j-invariant |
L |
5.6936477594345 |
L(r)(E,1)/r! |
Ω |
0.63957664832533 |
Real period |
R |
2.2255533301304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51800h1 103600m1 |
Quadratic twists by: -4 5 |