Atkin-Lehner |
2+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800u |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-28700000000 = -1 · 28 · 58 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -2 -7 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15708,752588] |
[a1,a2,a3,a4,a6] |
Generators |
[58:200:1] |
Generators of the group modulo torsion |
j |
-4286610640/287 |
j-invariant |
L |
5.4890661166543 |
L(r)(E,1)/r! |
Ω |
1.1211864439753 |
Real period |
R |
0.81596094625614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400m1 114800o1 |
Quadratic twists by: -4 5 |