Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640u |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-136049303600 = -1 · 24 · 52 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -2 -2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23095,-1358750] |
[a1,a2,a3,a4,a6] |
Generators |
[590811:7594777:2197] |
Generators of the group modulo torsion |
j |
-14770395136/1475 |
j-invariant |
L |
8.2574413595365 |
L(r)(E,1)/r! |
Ω |
0.19363590887187 |
Real period |
R |
10.661040863251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115640r1 |
Quadratic twists by: -7 |