Atkin-Lehner |
2+ 3+ 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290j |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
712800 |
Modular degree for the optimal curve |
Δ |
-4268492636692800000 = -1 · 29 · 3 · 55 · 172 · 795 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-193437,-104737539] |
[a1,a2,a3,a4,a6] |
Generators |
[617:3049:1] |
Generators of the group modulo torsion |
j |
-800471482758702855001/4268492636692800000 |
j-invariant |
L |
3.435895202854 |
L(r)(E,1)/r! |
Ω |
0.10243190754308 |
Real period |
R |
0.67086424245486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870bc1 |
Quadratic twists by: -3 |