Atkin-Lehner |
2- 3- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290bb |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
4402944 |
Modular degree for the optimal curve |
Δ |
-6.8511580441101E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6075846,13849423740] |
[a1,a2,a3,a4,a6] |
Generators |
[6462:775233:8] |
Generators of the group modulo torsion |
j |
-24805271756724790630386529/68511580441100679375000 |
j-invariant |
L |
11.124293469449 |
L(r)(E,1)/r! |
Ω |
0.096815394577008 |
Real period |
R |
4.7875880681875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120870l1 |
Quadratic twists by: -3 |