Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440db |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
639666892800 = 212 · 33 · 52 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57760,5323700] |
[a1,a2,a3,a4,a6] |
Generators |
[140:30:1] |
Generators of the group modulo torsion |
j |
5202988149947041/156168675 |
j-invariant |
L |
10.373730234305 |
L(r)(E,1)/r! |
Ω |
0.84898407749089 |
Real period |
R |
1.0182493879248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215d2 |
Quadratic twists by: -4 |