Atkin-Lehner |
2- 3- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
45828g |
Isogeny class |
Conductor |
45828 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-4188952446333696 = -1 · 28 · 312 · 193 · 672 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23856,-2772236] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1273:1] |
Generators of the group modulo torsion |
j |
8045426966528/22445947179 |
j-invariant |
L |
3.8319221053034 |
L(r)(E,1)/r! |
Ω |
0.22517969974087 |
Real period |
R |
1.4180978235411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15276b1 |
Quadratic twists by: -3 |