Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080r |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-19512604753920 = -1 · 221 · 33 · 5 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3828,191984] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:123:1] |
Generators of the group modulo torsion |
j |
876467493/2756840 |
j-invariant |
L |
8.5079927757436 |
L(r)(E,1)/r! |
Ω |
0.48408943917836 |
Real period |
R |
1.4646041431859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080do1 3690a1 118080b2 |
Quadratic twists by: -4 8 -3 |