Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362b |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
3.2060544976249E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6117265,-5149561067] |
[a1,a2,a3,a4,a6] |
j |
28524992814753625/3612440788992 |
j-invariant |
L |
0.19359405985695 |
L(r)(E,1)/r! |
Ω |
0.096797029961715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086w1 1302d1 |
Quadratic twists by: -3 -31 |